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 C5H12 (Butane, 2-methyl-)

using model chemistry: PBEPBE/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-197.484875
Energy at 298.15K-197.497543
Nuclear repulsion energy191.350427
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 PBEPBE/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3056 3024 25.68      
2 A 3051 3019 53.36      
3 A 3047 3015 18.51      
4 A 3045 3013 44.15      
5 A 3039 3008 41.73      
6 A 3035 3004 7.47      
7 A 2987 2956 21.12      
8 A 2972 2941 23.30      
9 A 2967 2936 27.09      
10 A 2962 2931 31.56      
11 A 2947 2917 30.33      
12 A 2930 2899 9.38      
13 A 1463 1448 4.22      
14 A 1457 1442 4.77      
15 A 1454 1439 3.62      
16 A 1449 1434 10.13      
17 A 1444 1430 1.41      
18 A 1436 1421 0.25      
19 A 1427 1413 0.13      
20 A 1367 1353 3.56      
21 A 1356 1342 2.99      
22 A 1346 1332 5.05      
23 A 1332 1318 0.48      
24 A 1319 1305 1.97      
25 A 1276 1263 3.81      
26 A 1252 1239 1.92      
27 A 1166 1154 0.72      
28 A 1160 1148 0.83      
29 A 1138 1126 2.68      
30 A 1035 1024 0.25      
31 A 998 988 2.85      
32 A 951 941 4.05      
33 A 937 927 0.30      
34 A 900 891 0.28      
35 A 895 886 1.30      
36 A 778 770 0.21      
37 A 746 738 2.69      
38 A 441 436 0.28      
39 A 398 394 0.22      
40 A 352 349 0.00      
41 A 256 253 0.02      
42 A 249 246 0.01      
43 A 217 215 0.03      
44 A 206 204 0.04      
45 A 92 91 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 34163.5 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 33811.6 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 PBEPBE/6-31G(2df,p)
ABC
0.24143 0.11082 0.08475

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.949 -0.590 0.314
H2 -2.222 -0.035 -1.212
H3 -2.187 1.010 0.227
C4 -2.100 -0.034 -0.115
H5 -0.769 -1.733 0.012
H6 -0.663 -0.642 1.395
C7 -0.764 -0.664 0.293
H8 0.343 -0.003 -1.431
C9 0.482 -0.003 -0.331
H10 -0.201 2.085 -0.153
H11 1.558 1.903 -0.333
H12 0.779 1.510 1.219
C13 0.659 1.455 0.122
H14 2.637 -0.384 -0.484
H15 1.647 -1.862 -0.366
H16 1.922 -0.855 1.076
C17 1.741 -0.822 -0.013

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.77911.77501.10202.48022.53002.18693.77173.54013.86355.19174.37414.15215.64654.81734.93784.7075
H21.77911.77891.10372.54803.09842.18782.57442.84403.11484.33874.16023.50764.92564.36164.80474.2149
H31.77501.77891.10223.09572.53392.19813.18942.90812.28953.89043.16722.88255.07094.82704.59184.3408
C41.10201.10371.10222.16232.17221.53272.77482.59102.84564.14543.52923.14444.76424.17704.27473.9227
H52.48022.54803.09572.16231.76521.10592.51192.16253.86374.33123.79143.49493.69682.44883.02442.6707
H62.53003.09842.53392.17221.76521.10753.06712.16763.17013.79462.59702.78683.80593.15062.61302.7917
C72.18692.18782.19811.53271.10591.10752.15201.54172.84083.51742.82222.55753.49932.77172.80442.5284
H83.77172.57443.18942.77482.51193.06712.15201.10872.50762.51383.08262.15322.51092.50803.08332.1533
C93.54012.84402.90812.59102.16252.16761.54171.10872.20362.18912.18621.53622.19392.19472.18681.5357
H103.86353.11482.28952.84563.86373.17012.84082.50762.20361.77771.78151.10173.77584.36353.82933.4987
H115.19174.33873.89044.14544.33123.79463.51742.51382.18911.77771.77991.10272.53313.76673.11872.7499
H124.37414.16023.16723.52923.79142.59702.82223.08262.18621.78151.77991.10483.15243.82622.63102.8074
C134.15213.50762.88253.14443.49492.78682.55752.15321.53621.10171.10271.10482.76693.49482.79992.5238
H145.64654.92565.07094.76423.69683.80593.49932.51092.19393.77582.53313.15242.76691.78311.77981.1027
H154.81734.36164.82704.17702.44883.15062.77172.50802.19474.36353.76673.82623.49481.78311.78091.1028
H164.93784.80474.59184.27473.02442.61302.80443.08332.18683.82933.11872.63102.79991.77981.78091.1047
C174.70754.21494.34083.92272.67072.79172.52842.15331.53573.49872.74992.80742.52381.10271.10281.1047

picture of Butane, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
H1 C4 H2 107.523 H1 C4 H3 107.279
H1 C4 C7 111.151 H2 C4 H3 107.503
H2 C4 C7 111.124 H3 C4 C7 112.039
C4 C7 H5 109.000 C4 C7 H6 109.676
C4 C7 C9 114.871 H5 C7 H6 105.787
H5 C7 C9 108.402 H6 C7 C9 108.710
C7 C9 H8 107.450 C7 C9 C13 112.390
C7 C9 C17 110.494 H8 C9 C13 107.902
H8 C9 C17 107.942 C9 C13 H10 112.257
C9 C13 H11 111.040 C9 C13 H12 110.683
C9 C17 H14 111.455 C9 C17 H15 111.510
C9 C17 H16 110.771 H10 C13 H11 107.501
H10 C13 H12 107.683 H11 C13 H12 107.471
C13 C9 C17 110.482 H14 C17 H15 107.889
H14 C17 H16 107.469 H15 C17 H16 107.560
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.123      
2 H 0.123      
3 H 0.128      
4 C -0.421      
5 H 0.101      
6 H 0.101      
7 C -0.174      
8 H 0.081      
9 C 0.041      
10 H 0.123      
11 H 0.120      
12 H 0.120      
13 C -0.410      
14 H 0.119      
15 H 0.119      
16 H 0.121      
17 C -0.417      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.024 -0.030 -0.049 0.062
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.134 0.250 -0.180
y 0.250 -34.893 0.054
z -0.180 0.054 -34.371
Traceless
 xyz
x -0.502 0.250 -0.180
y 0.250 -0.140 0.054
z -0.180 0.054 0.642
Polar
3z2-r21.284
x2-y2-0.241
xy0.250
xz-0.180
yz0.054


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.524 0.004 -0.014
y 0.004 8.529 -0.018
z -0.014 -0.018 7.698


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000