Aan 201-06
Aan 201-06
lphasense IRC-A sensors use the principle of Non-Dispersive Infra-Red (NDIR) to determine gas
            APPLICATION
oncentration.         Each sensor consists    NOTEof an      AAN  infrared201-06source, optical cavity, dual channel detector
 nd internal thermistor. Gas diffuses into the optical cavity. Light from the infrared source passes
hrough the optical cavity where it interacts with the gas before impinging on the detector. Certain
 ases absorb infrared radiation at specfic wavelengths (absorption bands). The dual channel
 etector is NDIR:
                comprised Gas   of Concentration
                                    an active channel andCalculation    a reference channel.      Overview The active channel is fitted
  ith a filter  such   that   the    only
            1. What is an NDIR Sensor?
                                            light  with   a wavelength          that   corresponds        to an absoption band of the
arget gas is allowed to pass through. If the target gas is present in the optical cavity the intensity
            Alphasense IRC-A sensors use the principle of Non-Dispersive Infra-Red (NDIR) to determine gas concentration. Each sensor consists of an
 f light passing      through the filter and hitting the active channel decreases. The reference channel
            infrared source, optical cavity, dual channel detector and internal thermistor. Gas diffuses into the optical cavity. Light from the infrared source
 f the detector is fitted with a filter that only allows wavelengths of light where there are no
            passes through the optical cavity where it interacts with the gas before impinging on the detector. Certain gases absorb infrared radiation
 bsorption bands to pass through. The intensity of light hitting the reference channel is not
            at specfic wavelengths (absorption bands). The dual channel detector is comprised of an active channel and a reference channel. The active
 ffected channel
            by theispresence           of gas. The use of a reference channel allows variations in the light
                       fitted with a filter such that the only light with a wavelength that corresponds to an absoption band of the target gas is allowed
ntensity totopass bethrough.
                       compensated             for. The detectors used are highly sensitive to the ambient
                              If the target gas is present in the optical cavity the intensity of light passing through the filter and hitting the active channel
emperature        and    so   it  is  necessary
            decreases. The reference channel of the    todetector
                                                           constantly        monitor
                                                                   is fitted with a filter the   temperature
                                                                                           that only              and of
                                                                                                     allows wavelengths compensate
                                                                                                                         light where there the
                                                                                                                                             are no absorption bands
 utput. The      internal    thermistor       is used    for this    purpose.
            to pass through. The intensity of light hitting the reference channel is not affected by the presence of gas. The use of a reference channel allows
            variations in the light intensity to be compensated for. The detectors used are highly sensitive to the ambient temperature and so it is necessary
 . How do   I get useful
       to constantly          signals
                     monitor the         from
                                 temperature     the sensor?
                                             and compensate the output. The internal thermistor is used for this purpose.
ull details are given in Application Note AAN 202. Briefly, in order to get useful signals from the
etector in an NDIR sensor the infrared source is typically pulsed on and off at 1 to 3 Hz in a
quare wave, 50% duty cycle. Suggested frequencies are 2 Hz for IRC-A1 sensors which use
        2. How do I get useful signals from the sensor?
yroelectric detectors and 3 Hz for IRC-AT sensors which use thermopile detectors. The actual
 equencyFullisdetails
                not are  given inimportant
                      hugely      Application Note
                                                but AAN   202. Briefly,
                                                      it must           in order to get
                                                                 be stable.             usefulsuitable
                                                                                    Using     signals from the detector
                                                                                                         circuitry      in an
                                                                                                                     this     NDIR sensor the infrared source
                                                                                                                            generates
        is typically pulsed on and off at 1 to 3 Hz in a square wave, 50% duty cycle. Suggested frequencies are 2 Hz for IRC-A1 sensors which use
pproximately sinusoidal detector output signals from a preamplifier. It is the peak to peak
mplitudepyroelectric
            of thesedetectors
                         signals and 3 Hz for IRC-AT sensors which use thermopile detectors. The actual frequency is not hugely important but it must
                                    that is important. In the following discussion the use of active and
        be stable. Using suitable circuitry this generates approximately sinusoidal detector output signals from a preamplifier. It is the peak to peak
eference signal refers to the amplitude.
            amplitude of these signals that is important. In the following discussion the use of active and reference signal refers to the amplitude.
                          ACT0
            ZERO =
                          REF0
                        ABS x
© Alphasense
      SPAN = Limited                       Page 1 of 5                          November 2014
                   1 − exp(
        Sensor Technology   −bx c300
                          House, ) Avenue West, Skyline 120, Great Notley Essex CM77 7AA, UK
                                   Tel: +44 (0) 1376 556700 Fax: +44 (0) 1376 335899
 here:                         email: sensors@alphasense.com Web: www.alphasense.com
            where: ABS is the absorbance (see below) at the calibration concentration
         ABSx is thex absorbance (see below) at the calibration concentration
                X: see Table 1 for recommended SPAN concentrations for each sensor range
         X: see Table    1 for recommended SPAN concentrations for each sensor range
                b and c are linearisation coefficients (see Table 1 and Application Note AAN 203).
         b and c are linearisation coefficients (see Table 1 and Application Note AAN 203).
. Determination of Absorbance
 bsorbance is defined as (see Application Note AAN 204):
                       ⎛I        ⎞
            ABS = 1 − ⎜⎜         ⎟⎟
                       ⎝ I0       ⎠
 here:
       T: +44 (0)1376 556700   E: sensors@alphasense.com   W: www.alphasense.com                        Sensor Technology House, Skyline 120, Great Notley, Braintree, Essex CM77 7AA, UK
         I = ACT/REF                                                                                                                        (©ALPHASENSE LTD) Doc. AAN 201-06/SEP22
         I0 = ACT0/REF0 = ZERO
                                           c
       ABSx is the1absorbance
                       − exp(        )
                          ABS−xbx (see    below) at the calibration concentration
         SPAN     =
       X: see Table     1 for recommended
                                   c           SPAN concentrations for each sensor range
                    1 − exp( −bx )
 here: b and c are linearisation coefficients (see Table 1 and Application Note AAN 203).
         APPLICATION NOTE AAN 201-06
       ABSx is the absorbance (see below) at the calibration concentration
 here: X: see Table 1 for recommended SPAN concentrations for each sensor range
 . Determination of Absorbance
       ABS
       b andx is
               c the
                 are absorbance
                      linearisation (see  below) at
                                     coefficients    theTable
                                                  (see   calibration
                                                               1 and concentration
                                                                     Application Note AAN 203).
 bsorbance
       X: seeisTable
                 defined   as recommended
                        1 for (see Application   Noteconcentrations
                                              SPAN     AAN 204):       for each sensor range
       b and   c are linearisation
 . Determination of Absorbance       coefficients (see  Table 1  and Application Note AAN 203).
            4. Determination
                       ⎛ I ⎞ of Absorbance
         ABS
  bsorbance is = 1 − ⎜⎜ as
               defined     ⎟⎟ (see
 . Determination ofI Absorbance
        Absorbance is defined
                                     Application Note AAN 204):
                              as (see Application Note AAN 204):
                     ⎝ 0⎠
 bsorbance is defined as (see Application Note AAN 204):
                     ⎛I ⎞
  here: ABS = 1 − ⎜⎜ ⎟⎟
                      I
        I = ACT/REF⎛⎝ I0 ⎞⎠
          ABS = 1 − ⎜⎜ ⎟⎟
        I0 = ACT0/REFI 0 = ZERO
  here:              ⎝ 0⎠
            where: I = ACT/REF
        I = ACT/REF
  bsorbance    can
                 I0 =therefore
                      ACT0/REF0 = be
                                  ZEROdetermined from the sensor outputs using:
  here: I0 = ACT    0/REF0 = ZERO
        I =Absorbance
             ACT/REF   can therefore be determined from the sensor outputs using:
        I
  bsorbance
          0 = ACT    /REF  0 = ZERO
               can0 therefore     be determined from the sensor outputs using:
                          ⎛       ACT                ⎞
         ABS = 1 − ⎜                                 ⎟
 bsorbance can therefore  ⎝ REFbe  × ZERO
                                        determined   ⎠       from the sensor outputs using:
                          ⎛       ACT                ⎞
        ABS = 1 − ⎜                                  ⎟
 ) Determination        ⎝⎛ofREF
        where: ABS is the
                        x     Gas  × Concentration
                                  ACT ZERO
                             absorbance
                                                    ⎞⎠
                                             (see below)    at the calibration concentration
        ABS X:= see 1 −Table
                        ⎜ 1 for recommended         ⎟ SPAN concentrations for each sensor range
 he gas concentration
                 b and c⎝are
                             is
                            REF  determined
                                   × ZERO
                              linearisation         ⎠ from (see
                                                coefficients
                                                              theTable
                                                                   following    equation:
                                                                         1 and Application Note AAN 203).
 ) Determination of Gas Concentration     ⎛ 1⎞
                                          ⎜ ⎟
               ⎡
 ) Determination   ⎛
 he gas concentration
                        of  ABS      ⎞  ⎤
                             is determined
                             Gas
                                          ⎝c⎠
                                     Concentration     from the following equation:
               ⎢ ln⎜ 1 −             ⎟  ⎥
        5) Determination   SPAN  of Gas
                                     ⎠ ⎥ ⎛ 1Concentration
         x=⎢ ⎝
 he gas concentration        is determined
                                          ⎜ ⎟
                                              ⎞        from the following equation:
                   ⎛ − ABS  b is determined
        The gas
              ⎡⎢ concentration       ⎞ ⎤⎥ ⎝ c ⎠
                                                      from the following equation:
 . Temperature Compensation
 he effects of temperature on an NDIR sensor are complex and care must be taken to ensure
ffective temperature compensation. Changes in temperature affect the absorbance, SPAN and
pparent gas concentration. The complexity of temperature compensation algorithms applied to
he data depends on the accuracy required. Details are given below for two simple linear
orrections. For details of more complex corrections to improve accuracy, users are encouraged
o contact Alphasense.
 .. Temperature
    Temperature Compensation
                 ⎧
                Compensation  ⎜ ⎟⎫
                              ⎛ 1⎞
                 ⎪⎡ ⎛ ABS ⎞ ⎤ ⎝ c ⎠ ⎪
                             ln 1 + on ⎟an
 he
 he effects   of
              of temperature
         6. Temperature
    effects              ⎪⎪⎢ ⎜⎝Compensation
                  temperature               ⎥ NDIR
                                       on ⎠an   ⎪⎪       sensor
                                                         sensor are  are complex
                                                                          complex and  and care
                                                                                             care must
                                                                                                     must be  be taken
                                                                                                                   taken toto ensure
ffective
                                    SPAN
                  x = − ⎨⎢ compensation.
          temperature                       ⎥ NDIR
                                                 ⎬ Changes in temperature affect the absorbance, SPAN and
                                                                                                                                ensure
ffective The
          temperature     ⎪⎢ compensation.
             effects of temperature− b on an⎥ NDIR   Changes
                                                 ⎪ sensor          in temperature
                                                           are complex   and care must beaffect
                                                                                           taken the   absorbance,
                                                                                                 to ensure                            and
                                                                                                                          SPAN compensation.
                                                                                                            effective temperature                  Changes in
pparent    gas
           gas concentration.
pparenttemperature                      The
                                        The⎥⎦ complexity
                          ⎪⎢⎣ the absorbance,
                 concentration.                complexity      of
                                                               of temperature
                                                 ⎪SPAN and apparent temperature       compensation
                                                                                      compensation         algorithms
                                                                                                           algorithms     applied
                                                                                                                          applied to   to algorithms applied to
                       affect                                          gas concentration. The complexity of  temperature compensation
he                        ⎪⎩on the accuracy      ⎪⎭ required. Details are given below for two simple linear
he data
    datathedepends
           depends
             data depends   ononthe    accuracy
                                  the accuracy       required.
                                               required.  Details areDetails    are
                                                                      given below      given
                                                                                  for two      below
                                                                                          simple          for two For
                                                                                                 linear corrections.   simple
                                                                                                                         details oflinear
                                                                                                                                     more complex corrections to
orrections.
orrections.    For
               For
         improve
                     details
                     detailsusers
                  accuracy,
                                  of  more
                                  of are
                                      more   complex
                                             complex
                                         encouraged
                                                           corrections
                                                           corrections
                                                      to contact
                                                                           to
                                                                           to improve
                                                                  Alphasense.  improve accuracy,
                                                                                           accuracy, users
                                                                                                         users are are encouraged
                                                                                                                         encouraged
o
o contact
  contact6. Alphasense.
            Alphasense.
            Temperature Compensation
            The effects of temperature on an NDIR sensor are complex and care must be taken to ensure
.1
.1 SPAN
    SPAN   ONLY
        effective
           ONLY      compensation
                  temperature
                     compensationcompensation. Changes in temperature affect the absorbance, SPAN and
 or     apparent   gas  concentration.
                                  scaleThe    complexity  of temperature       compensation     algorithms sufficient
                                                                                                           applied to to correct only
 or sensors   with
        6.1 SPAN
    sensors          high
                     high full
                    ONLY
              withdepends
        the data
                            compensation
                            full
                              on scale
                                          values     (e.g
                                                     (e.g >10
                                          valuesrequired.
                                  the accuracy             >10    %
                                                                  % vol.
                                                               Details vol.    CO2)) it
                                                                          are COgiven  it is
                                                                                          is normally
                                                                                    2 below   normally     sufficient
                                                                                               for two simple    linear to correct only
he
he SPAN,Forusing
    SPAN,   sensorsthe
            using
        corrections.  Forfollowing
                    the
                     with following
                          high full of
                           details      equation:
                                        equation:
                                    scale values
                                       more      (e.g >10
                                             complex      % vol. COto) itimprove
                                                       corrections         is normally sufficient
                                                                                   accuracy,      to correct
                                                                                               users         only the SPAN, using the following equation:
                                                                                                      are encouraged
                                                                                       2
            to contact Alphasense.
            SPAN = SPAN
             SPAN
            6.1 SPANT     = SPAN                 + β ((T − T
                                        cal + β o T − Tcal               ))
                       T ONLY    compensation
                                        cal     o         cal
            For sensors with high full scale values (e.g >10 % vol. CO2) it is normally sufficient to correct only
where:      the SPAN,
            where:       using
                   SPAN      theSPAN
                            is the  following  equation: T
                                          at temperature,
where:                       T
          SPANTT is        the
          SPAN                  is the SPANat
                             cal SPAN            temperature,
                                                  + β o (T − Tcal ) T
                    SPAN                     determined      during calibration
                     is
                      SPAN the      = SPANat
                                 TSPAN       cal temperature,         T
          SPAN        o is the SPAN determined during calibration
                    β    is the  SPAN   ONLY   correction    coefficient (see Table 1 and Application Note AAN 203)
          SPANcal  cal is the SPAN determined during calibration
          β         T     is the  calibration  temperature
          βoo is
              is the calSPAN ONLY correction coefficient (see Table 1 and Application Note AAN 203)
            where:
                 theSPANSPAN         ONLY correction coefficient (see Table 1 and Application Note AAN 203)
                              T is the SPAN at temperature, T
          T     is the
          Tcal is the
                    SPAN
                           calibration
                           calibration
                                 is the SPAN
                                            temperature
                                            temperature
                                                 determined during calibration
            cal               cal
                     βo is the SPAN ONLY correction coefficient (see Table 1 and Application Note AAN 203)
.2
.2 ABS  AND
   ABS 6.2
        AND
               TSPAN
                 cal is the compensation
                SPAN
                            calibration temperature
                            compensation
             ABS   AND SPAN         compensation
 o
 o ensure
   ensure
        6.2
           accuracy
           accuracy
            ABS   AND
                          at
                          at
                         SPAN
                              low
                              low    concentrations,
                                     concentrations,
                                 compensation
                                                           it
                                                           it may
                                                              may  be
                                                                   be necessary
                                                                       necessary       to
                                                                                       to correct
                                                                                           correct  both
                                                                                                    both the
                                                                                                           the  absorbance
                                                                                                                absorbance      and
                                                                                                                                and
        To ensure accuracy at low      concentrations, it may be necessary to correct both  the absorbance  and the SPAN. The absorbance is corrected using
he SPAN.     The   absorbance
                    accuracy    at low is corrected
                                        concentrations, using
                                                        it may  the
he SPAN. The absorbance is corrected using the following equation:
        To  ensure                                             be    following
                                                                  necessary to   equation:
                                                                               correct  both the absorbance  and
            the following equation:
            the SPAN. The absorbance is corrected using the following equation:
            ((11 −− ABS      )) == ((11) =−−(1ABS
                      (1 −TTABS
                    ABS                            )(1(1+++ ααα(T((TT− T−− TT)cal
                                              − ABS)()1
                                              ABS                             ) ))))
                                                                              cal
                                                 Alphasense Application Note
                                    T                                   cal
                                                                                                                        AAN 201-06
where:  where:
where: where: ABS
                ABST is the temperature corrected absorbance at temperature, T
                          T is the temperature corrected absorbance at temperature, T
 PAN isABS
        thenT is     the
                corrected
       ABST isABS            temperature
                     theisisthe
                    ABS              as above
                             temperature
                              theuncorrected
                                  uncorrected
                                                 corrected
                                                 corrected
                                                absorbance
                                                 absorbance
                                                               absorbance
                                                    but to ensure
                                                               absorbance        at
                                                                                 at temperature,
                                                                          accurate     compensation
                                                                                    temperature,      T
                                                                                                      T     a different coefficient
 hould ABS
       be    is
           used α   the
                     is (seeuncorrected
                          the    Application
                               absorbance
       ABS is the uncorrected absorbance         Alphasense Application Note
                                                absorbance
                                                   Note
                                             correction   AAN     203):
                                                        coefficient
                                                        coefficient (see
                                                                     (seeTable
                                                                          Table1 and
                                                                                 1   Application
                                                                                   and           Note
                                                                                       Application    AAN
                                                                                                   Note   203)
                                                                                                        AAN 203)    AAN 201-06
       α is theTT calabsorbance
                       isisthe
                            thecalibrationcorrection
                                 calibration  temperaturecoefficient (see Table 1 and Application Note AAN 203)
                                             temperature
        α is the calabsorbance correction coefficient (see Table 1 and Application Note AAN 203)
 PAN isT  SPAN
           thenis the
                   corrected
          cal is the
        Tcal                  = SPAN
                             calibration
                          T calibration           + β A (but
                                           ascalabove     T − to
                                                temperature
                                                temperature            )
                                                                Tcalensure         accurate compensation a different coefficient
 hould be     used           (see      Application       Note    AAN       203):
          SPAN is then corrected as above but to ensure accurate compensation a different coefficient should be used (see Application Note AAN 203):
 here:
          SPAN
        SPAN      T is        = SPAN
                          T the                      β A (T − Tcal ) T
                                     SPANcalat+temperature,
        SPANcal is the SPAN determined during calibration
 here: βA©   isAlphasense
          where: the
                   SPANABS  is the
                                        Limited
                                       ANDSPAN SPAN        correction
                                                at temperature,    T
                                                                      Page coefficient
                                                                             3 of 5            (see TableNovember         2014
                                                                                                                1 and Application       Note AAN
                  Sensor TTechnology House, 300 Avenue West, Skyline 120, Great Notley Essex CM77 7AA, UK
        203)
        SPANT SPAN       is thecal SPAN at
                                   is the SPANTel:  temperature,
                                                  determined   during
                                                     +44 (0) 1376  556700T Fax: +44 (0) 1376 335899
                                                                         calibration
        T cal is the
        SPAN       βAis    iscalibration
                              theABS   SPAN     temperature
                                                 determined         during calibration
                              the          email:
                                          AND     sensors@alphasense.com
                                               SPAN    correction coefficient   Web:  www.alphasense.com
                                                                                 (see Table 1 and Application Note AAN 203)
                  cal
©   Alphasense
        β
© Alphasense
          A  is    Tcal is
                 the        ABSLimited
                               the calibration
                               Limited AND         temperature
                                                SPAN       correction      Page    3 of 5
                                                                           Page 3 of 5 (see Table 1 and Application
                                                                             coefficient                                    November
                                                                                                                            November    Note2014
                                                                                                                                             AAN
                                                                                                                                            2014
 . Calculating
      Sensor
        203)      Technologythe      temperature
                                           House,     300   corrected
                                                           Avenue       West,   gas    concentration
                                                                                  Skyline
      Sensor Technology House, 300 Avenue West, Skyline 120, Great Notley Essex CM77 7AA, UK120,   Great   Notley  Essex   CM77     7AA,  UK
              is the calibration
        Tcalcorrection                      Tel:   +44
                                                   +44 (0)
                                            Tel:temperature  1376
                                                             1376 556700           Fax:  +44
                                                                                         +44 (0)(0) 1376   335899
 ollowing                            of ABS       and/or (0)SPAN,         the gas
                                                                      556700          concentration
                                                                                   Fax:             1376 can
                                                                                                           335899be calculated. However, in
                                     email:
                                     email:   sensors@alphasense.com
                                              sensors@alphasense.com                   Web:
                                                                                       Web:    www.alphasense.com
                                                                                               www.alphasense.com
 rder to relate          the    gas      concentration         (in
          7. Calculating the temperature corrected gas concentration %    volume)      at  temperature,        T, with the gas concentration
 . Calculating
 n  % volume) atthe            thetemperature               correcteditgas
                                       calibration temperature                         concentration
                                                                                  is necessary       to employ the ideal gas law. This
          Following correction of ABS and/or SPAN, the gas concentration can be calculated. However, in order to relate the gas concentration (in %
 ccounts    for
 ollowingvolume)   apparent
            correction                    changes
                                     of ABS       and/or in SPAN,
                                                             the gastheconcentration
                                                                               gas concentration  with temperature          (because
                                                                                                           can be calculated.            an NDIR
                                                                                                                                      However,  in
                          at temperature, T, with the gas concentration (in % volume) at the calibration temperature it is necessary to employ the ideal gas law.
 ensor
 rder toisrelate
            sensitive    the     to
                                gas    the   number
                                         concentration    of  molecules
                                                               (in   %          of
                                                                          volume)   theattarget     gas
                                                                                           temperature,  in   the
                                                                                                               T, cell,
                                                                                                                  with   not
                                                                                                                        the   the
                                                                                                                              gas   %  volume) so
                                                                                                                                    concentration
          This accounts for apparent changes in the gas concentration with temperature (because an NDIR sensor is sensitive to the number of molecules
hat
 n %thevolume)
         gas    concentration
          of the target   at the             at temperature,
                               gas incalibration         temperature
                                         the cell, not the
                                                                       T, is itgiven
                                                           % volume) so that      is gas
                                                                                 the
                                                                                        by:
                                                                                     necessary       to atemploy
                                                                                         concentration              the T,ideal
                                                                                                            temperature,   is givengas
                                                                                                                                    by: law. This
 ccounts for apparent changes in the gas concentration with temperature (because an NDIR
 ensor is sensitive to⎧ the number of molecules                    ⎜ ⎟⎫
                                                                   ⎛ 1⎞         of the target gas in the cell, not the % volume) so
hat the gas concentration           ⎪ ⎡    ⎛        ABS
                                             at temperature,   ⎞ ⎤ ⎝c⎠
                                                                        ⎪ is given by:
                                                                       T,
                                 ⎢ ln⎜1 −              ⎟⎥  T
                 ⎡ T        ⎤ ⎪⎪⎢ ⎜⎝ SPANT ⎟⎠ ⎥ ⎪⎪
            xT = ⎢          ⎥ ⎨⎧⎢                          ⎥⎤ ⎜⎝ c ⎟⎠ ⎬⎫
                                                               ⎛ 1⎞
                 ⎣Tcal      ⎦ ⎪⎡⎢ ⎛ −ABS      b        ⎞               ⎪
                               ⎪ ⎢ ln⎜⎜1 −
                                                   T
                                                       ⎟⎟ ⎥⎥ ⎪
                      ⎡ T ⎤ ⎪⎪⎢⎣⎢ ⎝ SPANT ⎠ ⎥⎦⎥ ⎪⎪
             xT = ⎢         ⎥ ⎩⎨
                      ⎣Tcal ⎦ ⎪⎢⎢          −b               ⎥ ⎭⎬
                                                            ⎥ ⎪
                               ⎪⎢                                      ⎪
        T: +44 (0)1376 556700 ⎪
                                 ⎣ sensors@alphasense.com⎥⎦ W:⎪www.alphasense.com
                               ⎩E:                                     ⎭                               Sensor Technology House, Skyline 120, Great Notley, Braintree, Essex CM77 7AA, UK
                                                                                                                                           (©ALPHASENSE LTD) Doc. AAN 201-06/SEP22
    APPLICATION NOTE AAN 201-06
8. Summary of Coefficients
    Table 1. IRC-A1 : Standardised Linearisation and Temperature Compensation Coefficients (assuming calibration at 20°C)
                                                       Range          Linearisation Coefficients                         Temp. Comp. Coefficients
             Sensor                  Gas
                                                    (SPAN Conc.)             b             c                      βO                                           βA
                                                    0 to 5000 ppm
           IRC-A1-IAQ                CO2                               4.1 x 10-4       0.897                    N/A                 0.0009                 0.0005
                                                     (4000 ppm)
                                                     0 to 5 % Vol
         IRC-A1-Safety               CO2                                0.520           0.680                  0.0021                0.0009                 0.0014
                                                      (4 % Vol)
                                                     0 to 20 % Vol
      IRC-A1-Combustion              CO2                                0.491            0.613                 0.0024                0.0009                 0.0020
                                                       (16 % Vol)
                                                    0 to 100 % Vol
        IRC-A1-Industrial            CO2                                0.698           0.302                    n.d                    n.d                    n.d
                                                     (100 % Vol)
    Table 2. IRC-AT : Standardised Linearisation and Temperature Compensation Coefficients (assuming calibration at 20°C)
                                                       Range          Linearisation Coefficients                         Temp. Comp. Coefficients
             Sensor                  Gas
                                                    (SPAN Conc.)             b             c                      βO                                           *βA
                                                    0 to 5000 ppm
           IRC-A1-IAQ                CO2                              3.25 x 10-4       0.9363                0.00001                0.00056                0.00001
                                                     (4000 ppm)
                                                     0 to 5 % Vol
         IRC-A1-Safety               CO2                                0.5411          0.6716                   tbd                 0.00056                  tbd
                                                      (4 % Vol)
                                                     0 to 20 % Vol
      IRC-A1-Combustion              CO2                                1.0459          0.2932                   tbd                 0.00056                  tbd
                                                       (16 % Vol)
                                                    0 to 100 % Vol
        IRC-A1-Industrial            CO2                                 tbd             tbd                     tbd                    tbd                   tbd
                                                     (100 % Vol)
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                                                                                                                                     (©ALPHASENSE LTD) Doc. AAN 201-06/SEP22