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: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-197.736476
Energy at 298.15K-197.749366
Nuclear repulsion energy192.563995
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 mPW1PW91/6-31G**
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 3155 3002 29.26      
2 A 3149 2997 60.13      
3 A 3146 2993 17.83      
4 A 3144 2992 53.62      
5 A 3139 2987 46.99      
6 A 3135 2983 5.77      
7 A 3090 2940 22.72      
8 A 3067 2918 22.08      
9 A 3062 2913 30.89      
10 A 3058 2909 34.07      
11 A 3048 2900 31.87      
12 A 3035 2888 8.25      
13 A 1529 1455 5.08      
14 A 1523 1449 6.49      
15 A 1520 1447 6.06      
16 A 1515 1442 11.25      
17 A 1511 1438 1.78      
18 A 1503 1430 0.35      
19 A 1495 1423 0.10      
20 A 1434 1365 6.03      
21 A 1427 1358 3.03      
22 A 1419 1350 8.02      
23 A 1400 1332 0.89      
24 A 1378 1311 0.99      
25 A 1333 1268 2.20      
26 A 1306 1242 1.55      
27 A 1215 1156 0.81      
28 A 1209 1150 0.78      
29 A 1184 1127 2.80      
30 A 1073 1021 0.10      
31 A 1038 988 3.32      
32 A 990 942 5.11      
33 A 975 928 0.38      
34 A 936 891 0.40      
35 A 933 888 1.63      
36 A 808 769 0.30      
37 A 774 737 2.96      
38 A 457 435 0.27      
39 A 415 395 0.24      
40 A 368 350 0.00      
41 A 265 252 0.01      
42 A 264 252 0.01      
43 A 228 217 0.02      
44 A 216 206 0.04      
45 A 97 92 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 35482.2 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 33761.3 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 mPW1PW91/6-31G**
ABC
0.24459 0.11218 0.08573

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
H1 -2.928 -0.597 0.304
H2 -2.208 -0.015 -1.198
H3 -2.176 0.994 0.250
C4 -2.088 -0.034 -0.110
H5 -0.766 -1.723 -0.009
H6 -0.656 -0.659 1.377
C7 -0.758 -0.666 0.284
H8 0.348 -0.003 -1.423
C9 0.480 -0.003 -0.331
H10 -0.204 2.070 -0.162
H11 1.543 1.894 -0.321
H12 0.755 1.503 1.210
C13 0.648 1.447 0.121
H14 2.623 -0.373 -0.473
H15 1.648 -1.843 -0.361
H16 1.910 -0.843 1.072
C17 1.736 -0.811 -0.009

Atom - Atom Distances (Å)
  H1 H2 H3 C4 H5 H6 C7 H8 C9 H10 H11 H12 C13 H14 H15 H16 C17
H11.76481.76051.09322.45822.51392.17173.75113.51773.84045.15634.33544.12325.61014.78974.90524.6792
H21.76481.76541.09462.53213.07542.17372.56652.82493.07164.29944.10923.46944.89874.34954.77534.1956
H31.76051.76541.09313.07252.51272.18423.18852.89622.28393.86893.12622.86335.04254.80134.55544.3162
C41.09321.09461.09312.14732.15741.52462.76732.57762.82424.11633.49113.11964.73714.15884.24713.9029
H52.45822.53213.07252.14731.75191.09682.48932.14863.83724.30283.76943.47373.67772.44263.01762.6624
H62.51393.07542.51272.15741.75191.09823.04582.15373.16483.77292.58632.77683.77593.11982.59052.7680
C72.17172.17372.18421.52461.09681.09822.13901.53332.82693.49512.80222.54353.47722.75502.78762.5146
H83.75112.56653.18852.76732.48933.04582.13901.09952.48812.49823.06042.13942.49252.49073.06102.1393
C93.51772.82492.89622.57762.14862.15371.53331.09952.18882.17442.17201.52792.17942.18042.17281.5277
H103.84043.07162.28392.82423.83723.16482.82692.48812.18881.76291.76771.09273.74914.33403.80523.4765
H115.15634.29943.86894.11634.30283.77293.49512.49822.17441.76291.76621.09382.51603.73953.09382.7306
H124.33544.10923.12623.49113.76942.58632.80223.06042.17201.76771.76621.09573.13743.80322.61882.7935
C134.12323.46942.86333.11963.47372.77682.54352.13941.52791.09271.09381.09572.75083.47282.78272.5101
H145.61014.89875.04254.73713.67773.77593.47722.49252.17943.74912.51603.13742.75081.76811.76611.0938
H154.78974.34954.80134.15882.44263.11982.75502.49072.18044.33403.73953.80323.47281.76811.76711.0939
H164.90524.77534.55544.24713.01762.59052.78763.06102.17283.80523.09382.61882.78271.76611.76711.0955
C174.67924.19564.31623.90292.66242.76802.51462.13931.52773.47652.73062.79352.51011.09381.09391.0955

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 107.542 H1 C4 H3 107.274
H1 C4 C7 111.038 H2 C4 H3 107.602
H2 C4 C7 111.115 H3 C4 C7 112.054
C4 C7 H5 108.906 C4 C7 H6 109.608
C4 C7 C9 114.903 H5 C7 H6 105.901
H5 C7 C9 108.412 H6 C7 C9 108.726
C7 C9 H8 107.522 C7 C9 C13 112.379
C7 C9 C17 110.466 H8 C9 C13 107.916
H8 C9 C17 107.917 C9 C13 H10 112.215
C9 C13 H11 110.984 C9 C13 H12 110.686
C9 C17 H14 111.405 C9 C17 H15 111.472
C9 C17 H16 110.769 H10 C13 H11 107.457
H10 C13 H12 107.755 H11 C13 H12 107.544
C13 C9 C17 110.463 H14 C17 H15 107.839
H14 C17 H16 107.550 H15 C17 H16 107.625
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 H 0.129      
2 H 0.128      
3 H 0.131      
4 C -0.399      
5 H 0.120      
6 H 0.118      
7 C -0.224      
8 H 0.119      
9 C -0.113      
10 H 0.128      
11 H 0.126      
12 H 0.124      
13 C -0.382      
14 H 0.125      
15 H 0.126      
16 H 0.125      
17 C -0.383      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.024 -0.025 -0.045 0.056
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.852 0.203 -0.153
y 0.203 -34.681 0.050
z -0.153 0.050 -34.275
Traceless
 xyz
x -0.374 0.203 -0.153
y 0.203 -0.117 0.050
z -0.153 0.050 0.492
Polar
3z2-r20.983
x2-y2-0.171
xy0.203
xz-0.153
yz0.050


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> 156.976
(<r2>)1/2 12.529