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: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-237.021982
Energy at 298.15K-237.037084
Nuclear repulsion energy265.815593
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 B3PW91/6-31G(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' 3123 3002 44.30      
2 A' 3117 2997 54.04      
3 A' 3112 2992 61.59      
4 A' 3106 2987 0.27      
5 A' 3048 2930 21.19      
6 A' 3038 2920 9.59      
7 A' 3028 2911 35.64      
8 A' 3019 2903 27.68      
9 A' 1514 1455 10.10      
10 A' 1504 1446 5.76      
11 A' 1501 1443 5.18      
12 A' 1481 1423 0.02      
13 A' 1470 1414 0.03      
14 A' 1422 1367 3.92      
15 A' 1403 1349 6.00      
16 A' 1390 1336 5.68      
17 A' 1365 1312 0.06      
18 A' 1277 1228 3.81      
19 A' 1238 1191 8.06      
20 A' 1095 1053 1.51      
21 A' 1038 998 2.66      
22 A' 1007 968 2.95      
23 A' 937 900 0.91      
24 A' 881 847 0.18      
25 A' 717 689 0.33      
26 A' 479 460 0.44      
27 A' 401 385 0.02      
28 A' 349 335 0.01      
29 A' 276 265 0.06      
30 A' 254 244 0.02      
31 A" 3129 3008 31.54      
32 A" 3116 2995 22.25      
33 A" 3108 2988 30.53      
34 A" 3106 2986 0.37      
35 A" 3058 2940 18.20      
36 A" 3032 2915 35.45      
37 A" 1508 1449 0.01      
38 A" 1496 1438 9.47      
39 A" 1478 1421 0.15      
40 A" 1471 1414 0.21      
41 A" 1389 1335 8.26      
42 A" 1331 1280 0.64      
43 A" 1245 1197 1.75      
44 A" 1100 1057 0.36      
45 A" 995 956 0.50      
46 A" 951 914 0.02      
47 A" 940 904 0.26      
48 A" 781 750 2.53      
49 A" 412 396 0.01      
50 A" 331 318 0.01      
51 A" 287 276 0.00      
52 A" 249 239 0.00      
53 A" 211 203 0.01      
54 A" 92 89 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 41199.7 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 39609.4 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 B3PW91/6-31G(2df,p)
ABC
0.14316 0.08310 0.08279

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.029 -2.183 0.000
C2 0.818 -0.876 0.000
C3 0.000 0.434 0.000
C4 0.990 1.608 0.000
C5 -0.880 0.528 1.253
C6 -0.880 0.528 -1.253
H7 0.464 2.569 0.000
H8 0.711 -3.040 0.000
H9 -0.280 0.444 2.166
H10 -0.280 0.444 -2.166
H11 -1.641 -0.258 1.277
H12 -1.641 -0.258 -1.277
H13 -1.404 1.491 1.288
H14 -1.404 1.491 -1.288
H15 -0.609 -2.278 0.884
H16 -0.609 -2.278 -0.884
H17 1.481 -0.862 0.876
H18 1.481 -0.862 -0.876
H19 1.636 1.581 0.885
H20 1.636 1.581 -0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.52762.61793.91113.12283.12284.77231.09483.41903.41902.85062.85064.14854.14851.09451.09452.15022.15024.18814.1881
C21.52761.54462.48942.53542.53543.46292.16642.76402.76402.83922.83923.49233.49232.18802.18801.09871.09872.73662.7366
C32.61791.54461.53531.53451.53452.18453.54582.18442.18442.19192.19192.17842.17842.91742.91742.15462.15462.18542.1854
C43.91112.48941.53532.49682.49681.09594.65552.76792.76793.46933.46932.72092.72094.29444.29442.66622.66621.09611.0961
C53.12282.53541.53452.49682.50672.74624.10301.09623.47311.09462.75721.09582.76752.84393.53842.76653.47072.75263.4661
C63.12282.53541.53452.49682.50672.74624.10303.47311.09622.75721.09462.76751.09583.53842.84393.47072.76653.46612.7526
H74.77233.46292.18451.09592.74622.74625.61393.12473.12473.74913.74912.51202.51205.04295.04293.68453.68451.77011.7701
H81.09482.16643.54584.65554.10304.10305.61394.21994.21993.86013.86015.16285.16281.76221.76222.47002.47004.79484.7948
H93.41902.76402.18442.76791.09623.47313.12474.21994.33281.77093.76901.76943.78073.02684.10162.54393.75012.57053.7784
H103.41902.76402.18442.76793.47311.09623.12474.21994.33283.76901.77093.78071.76944.10163.02683.75012.54393.77842.5705
H112.85062.83922.19193.46931.09462.75723.74913.86011.77093.76902.55481.76503.11402.30213.13323.20543.84073.77864.3359
H122.85062.83922.19193.46932.75721.09463.74913.86013.76901.77092.55483.11401.76503.13322.30213.84073.20544.33593.7786
H134.14853.49232.17842.72091.09582.76752.51205.16281.76943.78071.76503.11402.57643.87294.42213.74544.30613.06783.7379
H144.14853.49232.17842.72092.76751.09582.51205.16283.78071.76943.11401.76502.57644.42213.87294.30613.74543.73793.0678
H151.09452.18802.91744.29442.84393.53845.04291.76223.02684.10162.30213.13323.87294.42211.76832.52523.07824.46544.8031
H161.09452.18802.91744.29443.53842.84395.04291.76224.10163.02683.13322.30214.42213.87291.76833.07822.52524.80314.4654
H172.15021.09872.15462.66622.76653.47073.68452.47002.54393.75013.20543.84073.74544.30612.52523.07821.75212.44833.0159
H182.15021.09872.15462.66623.47072.76653.68452.47003.75012.54393.84073.20544.30613.74543.07822.52521.75213.01592.4483
H194.18812.73662.18541.09612.75263.46611.77014.79482.57053.77843.77864.33593.06783.73794.46544.80312.44833.01591.7701
H204.18812.73662.18541.09613.46612.75261.77014.79483.77842.57054.33593.77863.73793.06784.80314.46543.01592.44831.7701

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 116.886 C1 C2 H17 108.814
C1 C2 H18 108.814 C2 C1 H8 110.310
C2 C1 H15 112.061 C2 C1 H16 112.061
C2 C3 C4 107.854 C2 C3 C5 110.855
C2 C3 C6 110.855 C3 C2 H17 108.009
C3 C2 H18 108.009 C3 C4 H7 111.148
C3 C4 H19 111.204 C3 C4 H20 111.204
C3 C5 H9 111.179 C3 C5 H11 111.869
C3 C5 H13 110.724 C3 C6 H10 111.179
C3 C6 H12 111.869 C3 C6 H14 110.724
C4 C3 C5 108.846 C4 C3 C6 108.846
C5 C3 C6 109.524 H7 C4 H19 107.711
H7 C4 H20 107.711 H8 C1 H15 107.200
H8 C1 H16 107.200 H9 C5 H11 107.863
H9 C5 H13 107.648 H10 C6 H12 107.863
H10 C6 H14 107.648 H11 C5 H13 107.368
H12 C6 H14 107.368 H15 C1 H16 107.761
H17 C2 H18 105.754 H19 C4 H20 107.690
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.460      
2 C -0.217      
3 C 0.205      
4 C -0.452      
5 C -0.452      
6 C -0.452      
7 H 0.130      
8 H 0.137      
9 H 0.131      
10 H 0.131      
11 H 0.134      
12 H 0.134      
13 H 0.132      
14 H 0.132      
15 H 0.139      
16 H 0.139      
17 H 0.115      
18 H 0.115      
19 H 0.131      
20 H 0.131      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.032 -0.028 0.000 0.043
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.215 -0.335 0.000
y -0.335 -41.354 0.000
z 0.000 0.000 -41.118
Traceless
 xyz
x 0.021 -0.335 0.000
y -0.335 -0.188 0.000
z 0.000 0.000 0.166
Polar
3z2-r20.333
x2-y20.139
xy-0.335
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.546 -0.005 0.000
y -0.005 10.578 0.000
z 0.000 0.000 9.540


<r2> (average value of r2) Å2
<r2> 196.004
(<r2>)1/2 14.000