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, 2,2-dimethyl-)

using model chemistry: PBEPBE/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-236.729477
Energy at 298.15K-236.744357
Nuclear repulsion energy264.085680
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/cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3051 3033 41.77      
2 A' 3047 3029 49.73      
3 A' 3041 3023 59.25      
4 A' 3035 3018 0.96      
5 A' 2974 2957 22.21      
6 A' 2964 2947 10.78      
7 A' 2954 2937 34.50      
8 A' 2945 2928 32.67      
9 A' 1439 1431 10.03      
10 A' 1431 1423 4.76      
11 A' 1430 1421 6.40      
12 A' 1407 1399 0.02      
13 A' 1397 1389 0.26      
14 A' 1357 1349 4.21      
15 A' 1350 1342 4.48      
16 A' 1326 1319 5.41      
17 A' 1308 1300 0.21      
18 A' 1226 1219 3.49      
19 A' 1194 1187 8.59      
20 A' 1058 1052 0.85      
21 A' 1010 1004 4.88      
22 A' 967 962 2.53      
23 A' 906 901 1.14      
24 A' 857 852 0.29      
25 A' 703 699 0.37      
26 A' 469 467 0.42      
27 A' 392 389 0.05      
28 A' 340 338 0.01      
29 A' 251 250 0.06      
30 A' 248 246 0.07      
31 A" 3054 3036 28.51      
32 A" 3045 3027 20.63      
33 A" 3038 3020 30.14      
34 A" 3035 3018 0.04      
35 A" 2984 2966 20.58      
36 A" 2958 2941 37.45      
37 A" 1432 1424 0.00      
38 A" 1424 1416 9.42      
39 A" 1402 1394 0.05      
40 A" 1397 1389 0.07      
41 A" 1328 1320 7.35      
42 A" 1281 1274 0.55      
43 A" 1199 1192 1.54      
44 A" 1054 1048 0.60      
45 A" 956 951 0.52      
46 A" 911 905 0.44      
47 A" 908 903 0.10      
48 A" 764 760 2.70      
49 A" 406 404 0.06      
50 A" 325 323 0.01      
51 A" 274 273 0.00      
52 A" 245 244 0.00      
53 A" 202 201 0.01      
54 A" 92 92 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 39894.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 39663.3 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 PBEPBE/cc-pVDZ
ABC
0.14151 0.08225 0.08196

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.912 -1.071 0.000
C2 1.174 0.271 0.000
C3 -0.379 0.219 0.000
C4 -0.901 1.669 0.000
C5 -0.901 -0.500 1.259
C6 -0.901 -0.500 -1.259
H7 -2.011 1.696 0.000
H8 3.010 -0.912 0.000
H9 -0.528 -0.012 2.184
H10 -0.528 -0.012 -2.184
H11 -0.590 -1.564 1.288
H12 -0.590 -1.564 -1.288
H13 -2.010 -0.480 1.293
H14 -2.010 -0.480 -1.293
H15 1.672 -1.681 0.895
H16 1.672 -1.681 -0.895
H17 1.495 0.862 0.887
H18 1.495 0.862 -0.887
H19 -0.550 2.222 0.896
H20 -0.550 2.222 -0.896

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.53202.62953.92743.13503.13504.80091.10893.44183.44182.85762.85764.17274.17271.10931.10932.16722.16724.20874.2087
C21.53201.55342.50192.54672.54673.48882.18452.78302.78302.85302.85303.51773.51772.20442.20441.11331.11332.75342.7534
C32.62951.55341.54121.54141.54142.20123.57262.20132.20132.21012.21012.19602.19602.93522.93522.17092.17092.20142.2014
C43.92742.50191.54122.50822.50821.10994.68612.78142.78143.49443.49442.74212.74214.31784.31782.67992.67991.11021.1102
C53.13502.54671.54142.50822.51852.76414.12951.11043.49771.10902.77841.11002.78312.85443.55722.78153.49362.76933.4902
C63.13502.54671.54142.50822.51852.76414.12953.49771.11042.77841.10902.78311.11003.55722.85443.49362.78153.49022.7693
H74.80093.48882.20121.10992.76412.76415.65783.14453.14453.78263.78262.53102.53105.07615.07613.71163.71161.79291.7929
H81.10892.18453.57264.68614.12954.12955.65784.25384.25383.87883.87885.20235.20231.78391.78392.49562.49564.82714.8271
H93.44182.78302.20132.78141.11043.49773.14454.25384.36811.79313.80401.79193.80893.04724.13532.55703.78012.57953.8053
H103.44182.78302.20132.78143.49771.11043.14454.25384.36813.80401.79313.80891.79194.13533.04723.78012.55703.80532.5795
H112.85762.85302.21013.49441.10902.77843.78263.87881.79313.80402.57671.78723.13972.29883.14563.22433.86883.80744.3718
H122.85762.85302.21013.49442.77841.10903.78263.87883.80401.79312.57673.13971.78723.14562.29883.86883.22434.37183.8074
H134.17273.51772.19602.74211.11002.78312.53105.20231.79193.80891.78723.13972.58633.89374.44843.77554.34093.09733.7719
H144.17273.51772.19602.74212.78311.11002.53105.20233.80891.79193.13971.78722.58634.44843.89374.34093.77553.77193.0973
H151.10932.20442.93524.31782.85443.55725.07611.78393.04724.13532.29883.14563.89374.44841.78922.54903.11004.49154.8353
H161.10932.20442.93524.31783.55722.85445.07611.78394.13533.04723.14562.29884.44843.89371.78923.11002.54904.83534.4915
H172.16721.11332.17092.67992.78153.49363.71162.49562.55703.78013.22433.86883.77554.34092.54903.11001.77432.45653.0354
H182.16721.11332.17092.67993.49362.78153.71162.49563.78012.55703.86883.22434.34093.77553.11002.54901.77433.03542.4565
H194.20872.75342.20141.11022.76933.49021.79294.82712.57953.80533.80744.37183.09733.77194.49154.83532.45653.03541.7918
H204.20872.75342.20141.11023.49022.76931.79294.82713.80532.57954.37183.80743.77193.09734.83534.49153.03542.45651.7918

picture of Butane, 2,2-dimethyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 116.911 C1 C2 H17 108.995
C1 C2 H18 108.995 C2 C1 H8 110.600
C2 C1 H15 112.157 C2 C1 H16 112.157
C2 C3 C4 107.891 C2 C3 C5 110.754
C2 C3 C6 110.754 C3 C2 H17 107.851
C3 C2 H18 107.851 C3 C4 H7 111.210
C3 C4 H19 111.212 C3 C4 H20 111.212
C3 C5 H9 111.184 C3 C5 H11 111.965
C3 C5 H13 110.792 C3 C6 H10 111.184
C3 C6 H12 111.965 C3 C6 H14 110.792
C4 C3 C5 108.911 C4 C3 C6 108.911
C5 C3 C6 109.566 H7 C4 H19 107.715
H7 C4 H20 107.715 H8 C1 H15 107.073
H8 C1 H16 107.073 H9 C5 H11 107.790
H9 C5 H13 107.614 H10 C6 H12 107.790
H10 C6 H14 107.614 H11 C5 H13 107.296
H12 C6 H14 107.296 H15 C1 H16 107.501
H17 C2 H18 105.666 H19 C4 H20 107.599
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.048      
2 C 0.004      
3 C -0.330      
4 C 0.032      
5 C 0.029      
6 C 0.029      
7 H 0.017      
8 H 0.028      
9 H 0.019      
10 H 0.019      
11 H 0.023      
12 H 0.023      
13 H 0.020      
14 H 0.020      
15 H 0.032      
16 H 0.032      
17 H 0.008      
18 H 0.008      
19 H 0.018      
20 H 0.018      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.049 -0.015 0.000 0.051
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.882 0.160 0.000
y 0.160 -42.371 0.000
z 0.000 0.000 -42.026
Traceless
 xyz
x 0.316 0.160 0.000
y 0.160 -0.417 0.000
z 0.000 0.000 0.100
Polar
3z2-r20.201
x2-y20.489
xy0.160
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.088 -0.488 0.000
y -0.488 10.568 0.000
z 0.000 0.000 10.238


<r2> (average value of r2) Å2
<r2> 198.508
(<r2>)1/2 14.089