return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H14 (Butane, 2,3-dimethyl-)

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-235.726048
Energy at 298.15K-235.741227
Nuclear repulsion energy261.896983
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3142 3020 0.00      
2 Ag 3117 2996 0.00      
3 Ag 3050 2932 0.00      
4 Ag 3025 2908 0.00      
5 Ag 1584 1523 0.00      
6 Ag 1559 1498 0.00      
7 Ag 1463 1406 0.00      
8 Ag 1387 1333 0.00      
9 Ag 1240 1192 0.00      
10 Ag 1214 1167 0.00      
11 Ag 957 920 0.00      
12 Ag 767 737 0.00      
13 Ag 498 478 0.00      
14 Ag 393 378 0.00      
15 Ag 243 234 0.00      
16 Au 3141 3019 52.76      
17 Au 3110 2989 0.47      
18 Au 3045 2927 35.46      
19 Au 1566 1505 7.86      
20 Au 1538 1478 2.39      
21 Au 1442 1386 24.52      
22 Au 1362 1309 2.53      
23 Au 1090 1048 3.68      
24 Au 997 959 0.02      
25 Au 959 922 5.75      
26 Au 318 305 0.00      
27 Au 204 196 0.05      
28 Au 63 61 0.01      
29 Bg 3128 3007 0.00      
30 Bg 3110 2989 0.00      
31 Bg 3044 2926 0.00      
32 Bg 1549 1489 0.00      
33 Bg 1544 1484 0.00      
34 Bg 1433 1377 0.00      
35 Bg 1375 1321 0.00      
36 Bg 1185 1139 0.00      
37 Bg 982 944 0.00      
38 Bg 949 912 0.00      
39 Bg 435 418 0.00      
40 Bg 209 201 0.00      
41 Bu 3132 3011 63.43      
42 Bu 3119 2998 118.73      
43 Bu 3050 2931 61.46      
44 Bu 3039 2921 8.03      
45 Bu 1568 1507 28.22      
46 Bu 1560 1499 22.79      
47 Bu 1452 1396 26.43      
48 Bu 1338 1286 3.58      
49 Bu 1199 1153 12.16      
50 Bu 1037 997 16.65      
51 Bu 873 839 3.52      
52 Bu 409 393 0.53      
53 Bu 348 334 0.31      
54 Bu 220 212 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 41880.1 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 40255.1 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/3-21G
ABC
0.14019 0.09587 0.06247

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.776 0.000
C2 0.000 -0.776 0.000
H3 -1.051 1.106 0.000
H4 1.051 -1.106 0.000
C5 0.698 1.344 1.253
C6 0.698 1.344 -1.253
C7 -0.698 -1.344 1.253
C8 -0.698 -1.344 -1.253
H9 1.729 0.969 1.309
H10 1.729 0.969 -1.309
H11 -1.729 -0.969 1.309
H12 -1.729 -0.969 -1.309
H13 0.735 2.439 1.203
H14 0.176 1.066 2.174
H15 0.735 2.439 -1.203
H16 0.176 1.066 -2.174
H17 -0.735 -2.439 1.203
H18 -0.176 -1.066 2.174
H19 -0.735 -2.439 -1.203
H20 -0.176 -1.066 -2.174

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.55161.10172.15561.54211.54212.55882.55882.17712.17712.78352.78352.18022.20072.18022.20073.51022.85483.51022.8548
C21.55162.15561.10172.55882.55881.54211.54212.78352.78352.17712.17713.51022.85483.51022.85482.18022.20072.18022.2007
H31.10172.15563.05182.16412.16412.77412.77413.07573.07572.54582.54582.53232.49712.53232.49713.75703.19543.75703.1954
H42.15561.10173.05182.77412.77412.16412.16412.54582.54583.07573.07573.75703.19543.75703.19542.53232.49712.53232.4971
C51.54212.55882.16412.77412.50543.02763.92981.09852.78673.35264.21891.09721.09492.68923.47774.04492.72344.73174.2793
C61.54212.55882.16412.77412.50543.92983.02762.78671.09854.21893.35262.68923.47771.09721.09494.73174.27934.04492.7234
C72.55881.54212.77412.16413.02763.92982.50543.35264.21891.09852.78674.04492.72344.73174.27931.09721.09492.68923.4777
C82.55881.54212.77412.16413.92983.02762.50544.21893.35262.78671.09854.73174.27934.04492.72342.68923.47771.09721.0949
H92.17712.78353.07572.54581.09852.78673.35264.21892.61793.96414.75061.77731.78033.07533.81504.20692.91874.89864.4614
H102.17712.78353.07572.54582.78671.09854.21893.35262.61794.75063.96413.07533.81501.77731.78034.89864.46144.20692.9187
H112.78352.17712.54583.07573.35264.21891.09852.78673.96414.75062.61794.20692.91874.89864.46141.77731.78033.07533.8150
H122.78352.17712.54583.07574.21893.35262.78671.09854.75063.96412.61794.89864.46144.20692.91873.07533.81501.77731.7803
H132.18023.51022.53233.75701.09722.68924.04494.73171.77733.07534.20694.89861.77252.40603.68855.09453.74915.63404.9517
H142.20072.85482.49713.19541.09493.47772.72344.27931.78033.81502.91874.46141.77253.68854.34883.74912.16024.95174.8558
H152.18023.51022.53233.75702.68921.09724.73174.04493.07531.77734.89864.20692.40603.68851.77255.63404.95175.09453.7491
H162.20072.85482.49713.19543.47771.09494.27932.72343.81501.78034.46142.91873.68854.34881.77254.95174.85583.74912.1602
H173.51022.18023.75702.53234.04494.73171.09722.68924.20694.89861.77733.07535.09453.74915.63404.95171.77252.40603.6885
H182.85482.20073.19542.49712.72344.27931.09493.47772.91874.46141.78033.81503.74912.16024.95174.85581.77253.68854.3488
H193.51022.18023.75702.53234.73174.04492.68921.09724.89864.20693.07531.77735.63404.95175.09453.74912.40603.68851.7725
H202.85482.20073.19542.49714.27932.72343.47771.09494.46142.91873.81501.78034.95174.85583.74912.16023.68854.34881.7725

picture of Butane, 2,3-dimethyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H4 107.451 C1 C2 C7 111.600
C1 C2 C8 111.600 C1 C5 H9 109.930
C1 C5 H13 110.248 C1 C5 H14 112.021
C1 C6 H10 109.930 C1 C6 H15 110.248
C1 C6 H16 112.021 C2 C1 H3 107.451
C2 C1 C5 111.600 C2 C1 C6 111.600
C2 C7 H11 109.930 C2 C7 H17 110.248
C2 C7 H18 112.021 C2 C8 H12 109.930
C2 C8 H19 110.248 C2 C8 H20 112.021
H3 C1 C5 108.731 H3 C1 C6 108.731
H4 C2 C7 108.731 H4 C2 C8 108.731
C5 C1 C6 108.648 C7 C2 C8 108.648
H9 C5 H13 108.087 H9 C5 H14 108.524
H10 C6 H15 108.087 H10 C6 H16 108.524
H11 C7 H17 108.087 H11 C7 H18 108.524
H12 C8 H19 108.087 H12 C8 H20 108.524
H13 C5 H14 107.920 H15 C6 H16 107.920
H17 C7 H18 107.920 H19 C8 H20 107.920
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.255      
2 C -0.255      
3 H 0.205      
4 H 0.205      
5 C -0.592      
6 C -0.592      
7 C -0.592      
8 C -0.592      
9 H 0.202      
10 H 0.202      
11 H 0.202      
12 H 0.202      
13 H 0.205      
14 H 0.209      
15 H 0.205      
16 H 0.209      
17 H 0.205      
18 H 0.209      
19 H 0.205      
20 H 0.209      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.283 -0.249 0.000
y -0.249 -41.222 0.000
z 0.000 0.000 -41.635
Traceless
 xyz
x 0.146 -0.249 0.000
y -0.249 0.236 0.000
z 0.000 0.000 -0.383
Polar
3z2-r2-0.765
x2-y2-0.060
xy-0.249
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 208.276
(<r2>)1/2 14.432