Variable sheet:
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St Input Name Output Unit Comment
freq 2.998E13 Hz frequency (Hz)
E 1.987E-20 Joule energy (Joule, erg, eV, kcal/mole)
v 1000 cm-1 wavenumber (cm-1)
10 lambda m wavelength of light (nm, A, m, cm)
1 m order (unitless)
d .01 mm grating constant (cm, mm, m)
theta 2.9671739 degrees rotation angle of grating (radians, de
15 Phi degrees monochromator takeoff angle (radians,
alpha -12.03283 degrees incidence angle (radians, degrees)
beta 17.967174 degrees diffraction angle (radians, degrees)
100 lines lines/mm grating ruling density (lines/mm)
AngDisp .00010513 nm-1 Angular dispersion (mm-1, nm-1)
LinDisp .00525633 mm/ Linear Dispersion (mm/nm, mm/A)
RLD 19.024668 nm/mm Reciprocal linear dispersion (nm/mm, A
.5 Fm m Focal length on monochromator (mm, cm,
Sg .01902467 m Geometrical spectral bandpass (mm, m,
S .01922467 m Spectral bandpass (mm, m, nm, A)
Snu 1.9224668 cm-1 Spectral bandpass (cm-1)
1 H cm Slit height (cm, mm, m)
1 W mm Slit width (cm, mm, m)
Sd .2 nm diffraction limited resolution (mm, m
N 5000 Total number of lines in grating (unit
50 Wg mm aperture (mm, cm, m)
FSR .5 m Free spectral range (mm, m, nm, A)
omega .00978028 sr acceptance solid angle, steradians
Fnumber 8.961263 F-number of monochromator
Ap 24.450708 cm2 grating area viewed from entrance slit
As .1 cm2 Slit area (cm2, mm2)
PhiO 2.3938E-7 watts Radiant power passed by monochromator
Blambda .00002573 W/sr/nm/c Source spectral radiance (W/sr/nm/cm2)
.5 Top Transmission factor of monochromator
.5 emisiv emissivity of blackbody
1200 Tb K Temperature of blackbody (K, C)
1E9 Dstar cm-rootHz Detectivity of detector (cm-rootHz/W)
1 DeltaF Hz electrical bandpass of detector electr
5 Ad mm2 area of detector
SNR 1070.537 signal-to-noise ratio for detector lim
B 1.871113 W/sr/cm2 Total radiance over all wavelengths
peak 2.4141667 m Peak wavelength (nm, A, m, cm)
flux 1.205E13 Hz Photon flux, Hz, on detector
exponen 1.1983333 exponent of e in Planck's equation
LambdaT 12000000 nm K product of lambda and T, nm K
D 4.47214E9 detectivity (W-1)
nm 10000 nm wavelength in nm
shot 1097737.6 Signal-to-photon-noise ratio
.1 klam Quantum efficienty of photon detector
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Rule sheet:
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* 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
* theta=beta-Phi
* alpha=theta-Phi
* m*lambda=2*d*cos(Phi)*sin(theta)
* FSR=lambda/(m+1)
* omega=Ap/Fm^2
* Ap=Wg^2*cos(alpha)
* As=0.01*W*H
* PhiO=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*1e7
* exponent=1.438e7/(nm*Tb)
* LambdaT=nm*Tb
* Dstar=D*sqrt(Ad*DeltaF)
* SNR=PhiO*D
* flux=PhiO/E
* shot=klam*flux/sqrt(klam*flux)
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