Variable sheet:
---------------------------------------------------------------------------------------
St Input Name Output Unit Comment
freq 7.495E13 Hz frequency (Hz)
E 4.966E-20 Joule energy (Joule, erg, eV, kcal/mole)
v 2500 cm-1 wavenumber (cm-1)
400 lambda nm wavelength of light (mm, , m, nm)
--------MONOCHROMATOR----------
1 m order (unitless)
d .00083333 mm grating constant (mm, cm, m)
theta 14.386773 degrees rotation angle of grating (radians, de
15 Phi degrees monochromator takeoff angle (radians,
alpha 29.386773 degrees incidence angle (radians, degrees)
beta .61322672 degrees diffraction angle (radians, degrees)
1200 lines lines/mm grating ruling density (lines/mm)
AngDisp 1200.0687 mm-1 Angular dispersion (mm-1, nm-1)
LinDisp .36002062 mm/nm Linear Dispersion (mm/mm, mm/nm, mm/)
RLD 2.7776187 nm/mm Reciprocal linear dispersion (nm/mm,
300 Fm mm Focal length on monochromator (mm, cm,
Sg 1.3888093 nm Geometrical spectral bandpass (mm, m,
S 1.395476 nm Spectral bandpass (mm, m, nm, )
Snu .8721725 cm-1 Spectral bandpass (cm-1)
5 H mm Slit height (mm, m)
.5 W mm Slit width (mm, m)
.5 Top Transmission factor of monochromator
Sd .00666667 nm diffraction limited resolution (mm, m
N 60000 Total number of lines in grating (unit
50 Wg mm aperture (mm, cm, m)
omega .02420353 sr acceptance solid angle, steradians
Fnumber 5.6964669 F-number of monochromator
As .025 cm2 Slit area (cm2, mm2)
Ap 21.783178 cm2 grating area viewed from entrance slit
PhiIn .02132818 watts Radiant power input into monochromator
.01 Strayli Percent stray light
Phi0 1.3896E-7 watts Radiant power passed by monochromator
---------LIGHT SOURCE-------------
.5 emisiv emissivity of blackbody
2500 Tb K Temperature of blackbody (K, C)
nm 400 nm wavelength in nm
peak 1158.8 nm Peak wavelength (nm, , m, cm)
B 35.248047 W/sr/cm2 Total radiance over all wavelengths
Blambda .00033073 W/sr/nm/c Source spectral radiance (W/sr/nm/cm2)
-----PHOTOMULTIPLIER DETECTOR---------
.2 Klam Cathode quantum efficiency
g 3.2150301 gain per stage
SEF .45146114 secondary emission factor
600 V volts total voltage applied
Vd 66.666667 volts voltage per dynode (volts, KV)
9 k number of dynodes
M 36699.941 multiplication factor
1000 rt sec-1 cathode thermionic emission rate (sec-
.9 eta collection efficiency
Rlam .64515324 amps/watt radiant cathode responsivity (amps/wat
Flux 2.7981E12 sec-1 Photon flux on cathode (sec-1)
rcp 5.5963E11 sec-1 cathode photoelectron emission rate, s
ic 8.9652E-8 amps cathode photocurrent (amps, mA, A, nA
ict 1.602E-16 amps cathode thermionic dark current (amps,
iat 5.291E-12 amps anode thermionic dark current (amps, m
303 T K Temperature of load resistor (K, C)
1000 RL ohms Load (or feedback) resistance (ohms, K
sigmai 5.0269E-9 amps signal shot noise current (amps, mA,
sigmat 2.125E-13 amps thermionic shot noise current (amps, m
0 excess amps excess noise current (amps, mA, A, nA
sigmad 2.125E-13 amps total dark noise current (amps, mA, A
sigma 5.0269E-9 amps total shot noise current (amps, mA, A
sigmav 5.0269E-6 volts total shot noise voltage (volts, mvolt
sigmaJ 2.8919E-9 volts Johnson noise voltage (volts, mvolts)
0 flicfac flicker factor
sigmaf 0 volts flicker noise voltage (volts, mvolts)
sigman 5.0269E-6 volts total noise voltage (volts, mvolts)
1 t sec integration time (sec)
DeltaF .5 Hz noise bandwidth, Hz
tau .5 sec RC time constant (sec)
resptim 2.5 sec RC response time (sec)
ia .00296121 amps reference photocurrent (amps, mA, A,
L SNR 589130.53 signal-to-noise ratio of incident inte
----SAMPLE and OUTPUT SIGNAL-------
1 a absorptivity of analyte
1 b cm path length of cell
1 c concentration of analyte
A 1 true aborbance
ias .00029642 amps sample photocurrent (amps, mA, A, nA
Es 2.9615091 volts reference signal voltage (volts, mvolt
Ess .29641742 volts sample signal voltage (volts, mvolts)
sigmas 1.5904E-9 sample shot noise current (amps, mA,
Aobs .99960934 Measured absorbance
RSDref 1.6976E-6 RSD of reference signal
RSDsamp 5.3656E-6 RSD of sample signal
RSD 5.6277E-6 RSD of transmission
RSDA .00024434 Percent RSD of absorbance
---------------------------------------------------------------------------------------
Rule sheet:
---------------------------------------------------------------------------------------
RSDA=100*.434*RSD/Aobs d=1/lines
AngDisp = m/(d*cos(beta))
LinDisp = Fm*AngDisp
RLD=1/LinDisp
Sg=W/LinDisp
S = Sg+Sd
Snu=.1*S/(lambda*lambda)
Sd = lambda/(m*N)
N = Wg/d
beta=Phi-theta
alpha=theta+Phi
m*lambda=2*d*cos(Phi)*sin(theta)
omega=Ap/Fm^2
Ap=Wg^2*cos(alpha)
PhiIn=B*As*omega
As=0.01*W*H
Phi0=Blambda*As*omega*Top*Sg*1e6
Fnumber=Fm/sqrt(4*Ap/pi())
lambda = 1/v
Blambda = emisiv*1.19111E16*nm^-5/(exp(1.438e7/(nm*Tb))-1)
E = (6.6261E-34)*freq
freq = (2.998E10)/lambda
B=emisiv*1.8047e-12*Tb^4
peak=2.897e6/Tb
nm=lambda*1e6
exponent=1.438e7/(nm*Tb)
LambdaT=nm*Tb
lambda = 1/v
E = (6.6261E-34)*freq
freq = (2.998E10)/lambda
M=g^k
Vd=V/k
g=0.17*Vd^.7 " this is partly empirical
rcp=Klam*Flux
Rlam=(Klam*1.602e-19)/E
ia=eta*M*Rlam*Phi0
ic=rcp*1.602e-19
Flux=Phi0/E
ict=rt*1.602e-19
iat=M*eta*ict
Es=RL*((ia*Straylight/100)+ia+iat)
sigmai=sqrt(2*1.602e-19*(1+SEF)*M*ia*DeltaF)
SEF=1/(g-1)
sigmat=sqrt(2*1.602e-19*(1+SEF)*M*iat*DeltaF)
sigmad=sqrt(sigmat^2+excess^2)
sigma=sqrt(sigmad^2+sigmai^2)
sigmaJ=sqrt(4*1.38e-23*T*RL*DeltaF)
sigman=sqrt((RL*sigma)^2+sigmaJ^2+sigmaf^2)
sigmav=RL*sigma
SNR=Es/sigman
DeltaF=1/(2*t)
DeltaF=1/(4*tau)
resptime=5*tau
sigmaf=flicfac*Es
A=a*b*c
ias=(ia*Straylight/100)+ia*10^(-A)
Ess=RL*(ias+iat)
sigmas=sqrt(2*1.602e-19*(1+SEF)*M*(ias+iat)*DeltaF)
Aobs=log(Es/Ess)
RSDref=sigmai/ia
RSDsamp=sigmas/ias
RSD=sqrt(RSDref^2+RSDsamp^2)
RSDA=100*.434*RSD/Aobs
---------------------------------------------------------------------------------------
You may download the UV-Visible absorption spectrophotometer model in either
binary or BIHHEX (text-encoded) mode.
[RETURN] to Chem 623 home page.