TK+1 =v #1 :n freq :v 2.998E13 :s o :u Hz :d Hz :c frequency (Hz) #2 :n E :v 1.98650478E-20 :s o :u Joule :d Joule :c energy (Joule, erg, eV, kcal/mole) #3 :n v :v 1000 :s o :u cm-1 :d cm-1 :c wavenumber (cm-1) #4 :n lambda :v .0009999999999999999999 :s i :u cm :d µm :c wavelength of light (nm, , µm, cm) #5 :n m :v 1 :s i :c order (unitless) #6 :n d :v .009999999999999999999 :s o :u mm :d mm :c grating constant (cm, mm, µm) #7 :n theta :v .05178695372330598878 :s o :u radians :d degrees :c rotation angle of grating (radians, degrees) #8 :n Phi :v .2617993877991494365 :s i :u radians :d degrees :c monochromator takeoff angle (radians, degrees) #9 :n alpha :v -.2100124340758434477 :s o :u radians :d degrees :c incidence angle (radians, degrees) #10 :n beta :v .3135863415224554253 :s o :u radians :d degrees :c diffraction angle (radians, degrees) #11 :n lines :v 100 :s i :u lines/mm :d lines/mm :c grating ruling density (lines/mm) #12 :n AngDisp :v 105.1266699031496054 :s o :u mm-1 :d nm-1 :c Angular dispersion (mm-1, nm-1) #13 :n LinDisp :v 52563.33495157480272 :s o :u mm/mm :d mm/ :c Linear Dispersion (mm/nm, mm/) #14 :n RLD :v .0000190246680679845239 :s o :u mm/mm :d nm/mm :c Reciprocal linear dispersion (nm/mm, /mm) #15 :n Fm :v 500 :s i :u mm :d m :c Focal length on monochromator (mm, cm, m) #16 :n Sg :v .0000190246680679845239 :s o :u mm :d µm :c Geometrical spectral bandpass (mm, µm, nm, ) #17 :n S :v .0000192246680679845239 :s o :u mm :d µm :c Spectral bandpass (mm, µm, nm, ) #18 :n Snu :v 1.92246680679845239 :s o :u cm-1 :d cm-1 :c Spectral bandpass (cm-1) #19 :n H :v 10 :s i :u mm :d cm :c Slit height (cm, mm, µm) #20 :n W :v 1 :s i :u mm :d mm :c Slit width (cm, mm, µm) #21 :n Sd :v .0000002 :s o :u mm :d nm :c diffraction limited resolution (mm, µm, nm, ) #22 :n N :v 5000 :s o :c Total number of lines in grating (unitless) #23 :n Wg :v 50 :s i :u mm :d mm :c aperture (mm, cm, m) #24 :n FSR :v .0005 :s o :u mm :d µm :c Free spectral range (mm, µm, nm, ) #25 :n omega :v .009780283226423384655 :s o :u sr :d sr :c acceptance solid angle, steradians #26 :n Fnumber :v 8.961263029475936978 :s o :c F-number of monochromator #27 :n Ap :v 2445.070806605846164 :s o :u mm2 :d cm2 :c grating area viewed from entrance slit #28 :n As :v .1 :s o :u cm2 :d cm2 :c Slit area (cm2, mm2) #29 :n PhiO :v .0000002393793599922379278 :s o :u watts :d watts :c Radiant power passed by monochromator #30 :n Blambda :v .00002573049714096472319 :s o :u W/sr/nm/cm2 :d W/sr/nm/cm2 :c Source spectral radiance (W/sr/nm/cm2) #31 :n Top :v .5 :s i :c Transmission factor of monochromator #32 :n emisiv :v .5 :s i :c emissivity of blackbody #33 :n Tb :v 1200 :s i :u K :d K :c Temperature of blackbody (K, C) #34 :n Dstar :v 1E9 :s i :u cm-rootHz/W :d cm-rootHz/W :c Detectivity of detector (cm-rootHz/W) #35 :n DeltaF :v 1 :s i :u Hz :d Hz :c electrical bandpass of detector electronics #36 :n Ad :v .05 :s i :u cm2 :d mm2 :c area of detector #37 :n SNR :v 1070.537042706075073 :s o :c signal-to-noise ratio for detector limit #38 :n B :v 1.87111296 :s o :u W/sr/cm2 :d W/sr/cm2 :c Total radiance over all wavelengths #39 :n peak :v 2414.166666666666667 :s o :u nm :d µm :c Peak wavelength (nm, , µm, cm) #40 :n flux :v 12050278579860.14651 :s o :u Hz :d Hz :c Photon flux, Hz, on detector #41 :n exponent :v 1.198333333333333333 :s o :c exponent of e in Planck's equation #42 :n LambdaT :v 12000000 :s o :u nm K :d nm K :c product of lambda and T, nm K #43 :n D :v 4472135954.999579393 :s o :c detectivity (W-1) #44 :n :s b #45 :n nm :v 10000 :s o :u nm :d nm :c wavelength in nm #46 :n shot :v 1097737.608896595403 :s o #47 :n klam :v .1 :s i =u #1 :f radians :m 57.29577951308232088 :t degrees #2 :f mm :m 1000000 :t nm #3 :f mm :m 1E7 :t #4 :f mm :m .0009999999999999999999 :t m #5 :f mm :m 1000 :t µm #6 :f mm :m .1 :t cm #7 :f mm/mm :m .0000009999999999999999999 :t mm/nm #8 :f mm/mm :m .0000001 :t mm/ #9 :f mm :m 1000 :t µm #10 :f mm/mm :m 1000000 :t nm/mm #11 :f mm/mm :m 1E7 :t /mm #12 :f mm-1 :m .0000009999999999999999999 :t nm-1 #13 :f mm2 :m .01 :t cm2 #14 :f watts :m 1000000 :t µwatts #15 :f watts :m 1000 :t mwatts #16 :f cm :m 1E7 :t nm #17 :f nm :m 10 :t :c = option-shift-A #18 :f ppm :m 1000 :t ppb #19 :f ppm :m .00009999999999999999999 :t % #20 :f ml :m 1000 :t µl #21 :f g :m 1000000 :t µg :c µ = option-m #22 :f l :m 1000 :t ml #23 :f µm :m 1000 :t nm #24 :f erg :m .0000001 :t Joule #25 :f eV :m 1.6E-19 :t Joule #26 :f J :t Joule #27 :f cm :m 1E7 :t nm #28 :f nm :m 10 :t #29 :f ppm :m 1000 :t ppb #30 :f ppm :m .00009999999999999999999 :t % #31 :f ml :m 1000 :t µl #32 :f g :m 1000000 :t µg #33 :f l :m 1000 :t ml #34 :f µm :m 1000 :t nm #35 :f m :m 100 :t cm #36 :f in :m 2.54 :t cm #37 :f cm2 :m 100 :t mm2 #38 :f eV :m 23.06 :t kcal/mole #39 :f cm/sec :m 10 :t mm/sec #40 :f cm :m 1E7 :t nm #41 :f nm :m 10 :t :c = option-shift-A #42 :f ppm :m 1000 :t ppb #43 :f ppm :m .00009999999999999999999 :t % #44 :f ml :m 1000 :t µl #45 :f g :m 1000000 :t µg :c µ = option-m #46 :f l :m 1000 :t ml #47 :f µm :m 1000 :t nm #48 :f erg :m .0000001 :t Joule #49 :f eV :m 1.6E-19 :t Joule #50 :f J :t Joule #51 :f cm :m 1E7 :t nm #52 :f nm :m 10 :t #53 :f ppm :m 1000 :t ppb #54 :f ppm :m .00009999999999999999999 :t % #55 :f ml :m 1000 :t µl #56 :f g :m 1000000 :t µg #57 :f l :m 1000 :t ml #58 :f µm :m 1000 :t nm #59 :f m :m 100 :t cm #60 :f in :m 2.54 :t cm #61 :f cm2 :m 100 :t mm2 #62 :f eV :m 23.06 :t kcal/mole #63 :f C :t K :a 273 #64 :f cm-1 :m .1 :t mm-1 =l =f =r #1 :r "Assumptions: equal entrance and exit slits, equal focal :s C #2 :r " lengths of collimator and focusing elements :s C #3 :r d=1/lines #4 :r AngDisp = m/(d*cos(beta)) #5 :r LinDisp = Fm*AngDisp #6 :r RLD=1/LinDisp #7 :r Sg=W/LinDisp #8 :r S = Sg+Sd #9 :r Snu=.1*S/(lambda*lambda) #10 :r Sd = lambda/(m*N) #11 :r N = Wg/d #12 :r theta=beta-Phi #13 :r alpha=theta-Phi #14 :r m*lambda=2*d*cos(Phi)*sin(theta) #15 :r FSR=lambda/(m+1) #16 :r omega=Ap/Fm^2 #17 :r Ap=Wg^2*cos(alpha) #18 :r As=0.01*W*H #19 :r PhiO=Blambda*As*omega*Top*Sg*1e6 #20 :r Fnumber=Fm/sqrt(4*Ap/pi()) #21 :r lambda = 1/v #22 :r Blambda = emisiv*1.19111E16*nm^-5/(exp(1.438e7/(nm*Tb))-1) #23 :r E = (6.6261E-34)*freq #24 :r freq = (2.998E10)/lambda #25 :r B=emisiv*1.8047e-12*Tb^4 #26 :r peak=2.897e6/Tb #27 :r nm=lambda*1e7 #28 :r exponent=1.438e7/(nm*Tb) #29 :r LambdaT=nm*Tb #30 :r Dstar=D*sqrt(Ad*DeltaF) #31 :r SNR=PhiO*D #32 :r flux=PhiO/E #33 :r shot=klam*flux/sqrt(klam*flux) =p =t #1 :v Vertical :s Show :f 1 :t "" :u E =n =g #1 :c .0000009999999999999999999 :i 10 :v Yes :a Yes :r Yes :h No :t 1 %Tv,f,53,3,0,1,31 %Or,f,28,1,0,1,1