TK+1
=v
#1
:n
lambda
:v
.00003247
:s
i
:u
cm
:d
nm
:c
wavelength of line center (cm, �m, nm, �)
#2
:n
fo
:v
923929781336618.4171
:s
o
:u
sec-1
:d
cm-1
:c
frequency of line center (sec-1, cm-1)
#3
:n
T
:v
3000
:s
i
:u
K
:d
K
:c
Temperature (K, C)
#4
:n
A
:v
63.5
:s
i
:u
amu
:d
amu
:c
atomic weight of atom (amu)
:a
A
#5
:n
M
:v
28
:s
i
:u
amu
:d
amu
:c
molecular weight of collider (amu)
#6
:n
alpha
:v
1.67E-24
:s
i
:u
cm3
:d
cm3
:c
polarizability of collider (cm3)
#7
:n
sigma
:v
5.06807821146532526E-15
:s
o
:u
cm2
:d
�2
:c
cross section, defined as r^2 (cm2, �2)
#8
:n
sigmaa
:v
1.592183727695796446E-14
:s
o
:u
cm2
:d
�2
:c
cross section, defined as �r^2 (cm2, �2)
:a
sigmaa
#9
:n
DLaColl
:v
7.873055873449953584E-11
:s
o
:u
cm
:d
pm
:c
adiabadic collision width (cm, �m, nm, �, pm)
#10
:n
DNuColl
:v
2240268183.433198317
:s
o
:u
sec-1
:d
sec-1
:c
adiabadic collision width (sec-1, cm-1)
#11
:n
DLaDop
:v
1.597340608654712583E-10
:s
o
:u
cm
:d
pm
:c
Doppler width (cm, �m, nm, �, pm)
#12
:n
DNuDop
:v
4545212686.401138186
:s
o
:u
sec-1
:d
sec-1
:c
Doppler width  (sec-1, cm-1)
#13
:n
DLaVoi
:v
2.038784868012904455E-10
:s
o
:u
cm
:d
nm
:c
Voigt width (cm, �m, nm, �, pm)
:a
DLaVoi
#14
:n
a
:v
.410353867911953577
:s
o
:c
a parameter or damping factor (unitless)
#15
:n
N
:v
2444985789687373122
:s
o
:u
cm-3
:d
cm-3
:c
number density of colliders (cm-3)
#16
:n
P
:v
1
:s
i
:u
atm
:d
atm
:c
Pressure of colliders (atm, mmHg, psig, g/cm2)
#17
:n
�
:v
19.43169398907103825
:s
o
:u
amu
:d
amu
:c
Reduced mass of atom-collider pair, amu
#18
:n
v
:v
180792.4804671112115
:s
o
:u
cm/sec
:d
cm/sec
:c
Mean velocity of atom-collider pair, cm/sec
#19
:n
DNushft
:v
1600191559.595141655
:s
o
:u
sec-1
:d
sec-1
:c
red shift (Sec-1)
#20
:n
DLashft
:v
5.623611338178538276E-11
:s
o
:u
cm
:d
pm
:c
red shift (pm)
#21
:n
sigmar
:v
5.38E-15
:s
i
:u
cm2
:d
�2
:c
reference cross section, r^2 (cm2, �2)
#22
:n
Tr
:v
2500
:s
i
:u
T
:d
T
:c
Temperature of reference flame (T,C)
#23
:n
Mr
:v
28
:s
i
:u
amu
:d
amu
:c
atomic weight of reference collider (amu)
#24
:n
alphar
:v
1.77E-24
:s
i
:u
cm3
:d
cm3
:c
polarizability of reference collider (cm3)
#25
:n
�r
:v
19.43169398907103825
:s
o
:u
amu
:d
amu
:c
Reduced mass of reference pair, amu
#26
:n
c
:v
3E10
:s
o
#27
:n
k
:v
1.38E-16
:s
o
#28
:n
R
:v
83140000
:s
o
#29
:n

:s
b
#30
:n

:s
b
#31
:n

:s
b
#32
:n

:v
1704992318.837044274
:s
o
#33
:n

:s
b
=u
#1
:f
cm
:m
1E7
:t
nm
#2
:f
cm
:m
1E10
:t
pm
#3
:f
cm
:m
1E8
:t
�
#4
:f
ppm
:m
1000
:t
ppb
#5
:f
ppm
:m
.00009999999999999999999
:t
%
#6
:f
ml
:m
1000
:t
�l
#7
:f
g
:m
1000000
:t
�g
#8
:f
l
:m
1000
:t
ml
#9
:f
cm2
:m
1E16
:t
�2
#10
:f
atm
:m
760
:t
mmHg
#11
:f
sec-1
:m
9.999999999999999999E-11
:t
cm-1
#12
:f
cm
:m
10000
:t
�m
#13
:f
C
:t
K
:a
273
#14
:f
psig
:m
70.308
:t
g/cm2
#15
:f
atm
:m
14.7
:t
psig
=l
#1
:n
T
:d
�K
:u
�K
:v
2500
3000
2500
3000
3000
3000
3000
3000
2500
3000
2500
3000
2500
2500
2500
2500
3000
3000
2500
3000
2500
E
#2
:n
DLaColl
:d
pm
:u
cm
:v
2.664700837975782321E-10
2.432527929937091271E-10
2.252083250793875912E-10
2.10663098274069415E-10
1.986150737804834124E-10
1.884228032366151337E-10
1.796540938468958375E-10
1.720056994684192204E-10
1.652577305989837628E-10
1.592463338432993846E-10
1.538465746115139272E-10
1.489613053353625593E-10
1.445136931829608003E-10
1.404420655160462767E-10
1.366962687273161175E-10
1.33235041898789116E-10
1.300240871083291729E-10
1.27034628027064449E-10
1.242423171967205147E-10
1.216263964968545636E-10
1.191690442682900474E-10
1.168548619500410309E-10
1.146704663122794803E-10
1.126041625396937956E-10
1.106456798781809218E-10
1.087859561701236362E-10
E
#3
:n
DLaDop
:d
pm
:u
cm
:v
6.521115727717928456E-11
7.14352436834565247E-11
7.7158881840009954E-11
8.248631434054027618E-11
8.748994833792178534E-11
9.222250303943189722E-11
9.672377718815486825E-11
1.01024690448571188E-10
1.051498316066908078E-10
1.091191371556851879E-10
1.129490376244394491E-10
1.166532644505623804E-10
1.202434327256946012E-10
1.237294715108104143E-10
1.271199477935317927E-10
1.304223145543585691E-10
1.336431036021008216E-10
1.367880775034420028E-10
1.398623507373355237E-10
1.428704873669130494E-10
1.458165805632029756E-10
1.487043179394292718E-10
1.51537035672856782E-10
1.54317763680019908E-10
1.570492635891307642E-10
1.597340608654712583E-10
E
#4
:n
DLaVoi
:d
nm
:u
cm
:v
1.733306260150587884E-10
3.193470619660166985E-10
9.285160062498196557E-11
3.513843518348045675E-10
3.7859573364067284E-10
3.393079360250388971E-10
2.188259936766871923E-10
3.68385777311300881E-10
1.118082885611390302E-10
2.671138557198409383E-10
2.06304500896132745E-10
2.210344191027222048E-10
1.263619752778135574E-9
2.791794375623080993E-10
1.979874634435254735E-10
7.03091449133572149E-10
2.3711658896047031E-10
3.25305371053674006E-10
1.408897358184829512E-10
2.462919630996671047E-10
1.279496252734595528E-10
E
#5
:n
A
:d
amu
:u
amu
:v
108
27
197
11
137
9
209
40
112
52
64
70
6.9
24
55
23
28
88
204
51
65
E
#6
:n
Wo
:d
nm
:u
cm
:v
.00003281
.00003093
.00002428
.00002498
.00005536
.00002349
.00003068
.00004227
.00002288
.00003579
.00003248
.00002874
.00006708
.00002852
.00002795
.0000589
.00002516
.00004607
.00002768
.00003184
.00002139
E
#7
:n
sigma
:d
�2
:u
�2
:v
180
279
176
225
219
141
478
200
208
202
169
364
119
198
234
185
259
222
313
248
203
E
#8
:n
lambda
:v
E
#9
:n
sigmaa
:d
�2
:u
cm2
:v
1.8E-14
2.79E-14
1.76E-14
2.25E-14
2.19E-14
1.41E-14
4.78E-14
2E-14
2.08E-14
2.02E-14
1.69E-14
3.64E-14
1.19E-14
1.98E-14
2.34E-14
1.85E-14
2.59E-14
2.22E-14
3.13E-14
2.48E-14
2.03E-14
E
=f
=r
#1
:r
"  ATOMIC LINE WIDTH
:s
C
#2
:r
" Doppler and adiabatic collisional atomic line width
:s
C
#3
:r
" R.J.Lovett and M.L.Parsons, Appl. Spectrosc. 31, 424-434 (1977)
:s
C
#4
:r
c=3e10       "Speed of light, cm/sec
#5
:r
k=1.38E-16   "Boltsmann's constant, erg/K
#6
:r
R=83140000   "Gas constant, ergs/mol/K
#7
:r
DNuDop=(1/lambda)*Sqrt(ln(2))*Sqrt((8*R*T)/A)      "Doppler width (in frequency)
#8
:r
lambda*fo=c              "relation between wavelength and frequency
#9
:r
�=1/(1/A+1/M)        "Reduced mass of atom-collider pair, amu
#10
:r
v=Sqrt(8*R*T/(Pi()*�))   "mean velocity of atom-collider pair, cm/sec
#11
:r
N=.001*6.022e23*P/(T*0.0821)  " Ideal gas law
#12
:r
DNuColl=v*sigmaa*N/Pi()       "Collisional width (in frequency)
#13
:r
DNuDop=3E10*DLaDop/(lambda*lambda)    "relation between wavelength and frequency widths
#14
:r
DNuColl=3E10*DLaColl/(lambda*lambda)   "relation between wavelength and frequency widths
#15
:r
a=DNuColl*Sqrt(ln(2))/DNuDop   "Definition of damping factor
#16
:r
DLaVoi=DLaColl/2+Sqrt((DLaColl/2)^2+DLaDop^2)     "Voigt width
#17
:r
DNushft=DNuColl/1.4
#18
:r
sigma=sigmar*(alpha/alphar*Sqrt(�*Tr/(�r*T)))^(2/5)
#19
:r
sigmaa=sigma*Pi()
#20
:r
DNushft=3E10*DLashft/(lambda*lambda)   "relation between wavelength and frequency widths
#21
:r
�r=1/(1/A+1/Mr)        "Reduced mass of  reference collider pair, amu
#22
:r
" alpha values: Ar =1.64e-24    air/C2H2 = 1.77e-24     air/N2O = 1.67e-24 
:s
C
=p
#1
:n
WidthVsT
:t
Line chart
:i
"Line width vs temperature at constant pressure"
:s
Yes
:z
Y-axis
:g
No
:l
Linear
:h
"Temperature"
:v
"width, pm"
:b
0,3.5
:x
T
:u
#1
:y
DLaColl
:f
1
:p
Symbols
:c
"c"
:m
0
#2
:y
DLaDop
:f
1
:p
Symbols
:c
"d"
:m
0
#3
:y
DLaVoi
:f
1
:p
Lines
:c
"v"
:m
0
E
#2
:n
VoiVsA
:t
Line chart
:i
""
:s
Yes
:z
None
:g
No
:l
Linear
:h
"atomic weight, amu"
:v
"Voigt width, nm"
:x
A
:u
#1
:y
DLaVoi
:f
1
:p
Symbols
:c
"*"
:m
0
E
#3
:n
VoiVsLam
:t
Line chart
:i
""
:s
Yes
:z
None
:g
No
:l
Linear
:h
"wavelength. nm"
:v
"Voigt width, nm"
:x
Wo
:u
#1
:y
DLaVoi
:f
1
:p
Symbols
:c
"*"
:m
0
E
=t
=n
#1
:n
�2
:d
18
:f

:^
Either Scientific or Decimal
:e
"."
:m
""
:p
None
:j
Left
:s
- Only
:q
0
:x
0
:l
""
:t
""
:v
"0"
=g
#1
:c
.0000009999999999999999999
:i
10
:v
Yes
:a
Yes
:r
Yes
:h
No
:t
1
%Tv,f,10,4,0,1,0
%Or,f,15,1,0,1,0