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

using model chemistry: PBEPBE/3-21G

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/3-21G
 hartrees
Energy at 0K-235.453313
Energy at 298.15K-235.468377
Nuclear repulsion energy263.978206
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/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 A' 3056 3028 46.97      
2 A' 3049 3022 49.77      
3 A' 3045 3017 51.17      
4 A' 3037 3010 0.81      
5 A' 2985 2958 18.24      
6 A' 2974 2947 8.21      
7 A' 2963 2936 29.34      
8 A' 2957 2930 23.42      
9 A' 1533 1519 14.30      
10 A' 1528 1514 11.44      
11 A' 1520 1506 7.96      
12 A' 1502 1489 0.60      
13 A' 1487 1474 0.19      
14 A' 1422 1409 3.64      
15 A' 1407 1394 17.10      
16 A' 1387 1374 11.33      
17 A' 1349 1336 0.20      
18 A' 1260 1249 6.57      
19 A' 1224 1213 9.04      
20 A' 1085 1075 5.77      
21 A' 1011 1001 8.51      
22 A' 1006 997 0.10      
23 A' 923 915 2.17      
24 A' 862 854 0.28      
25 A' 696 689 0.59      
26 A' 472 467 1.19      
27 A' 391 388 0.01      
28 A' 349 346 0.07      
29 A' 263 261 0.02      
30 A' 248 246 0.11      
31 A" 3062 3034 31.60      
32 A" 3049 3021 21.91      
33 A" 3040 3013 25.43      
34 A" 3037 3009 0.01      
35 A" 2996 2968 12.58      
36 A" 2968 2940 30.21      
37 A" 1532 1518 0.79      
38 A" 1519 1506 14.51      
39 A" 1498 1485 0.24      
40 A" 1494 1481 0.07      
41 A" 1390 1377 15.82      
42 A" 1335 1323 2.01      
43 A" 1233 1221 2.37      
44 A" 1099 1089 1.38      
45 A" 1002 993 1.32      
46 A" 959 950 0.02      
47 A" 928 919 0.39      
48 A" 788 781 4.84      
49 A" 403 399 0.00      
50 A" 334 331 0.03      
51 A" 285 282 0.00      
52 A" 259 257 0.00      
53 A" 209 208 0.03      
54 A" 100 99 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 40754.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 40383.4 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 PBEPBE/3-21G
ABC
0.14111 0.08220 0.08204

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.892 -1.100 0.000
C2 1.184 0.273 0.000
C3 -0.373 0.225 0.000
C4 -0.898 1.683 0.000
C5 -0.898 -0.495 1.266
C6 -0.898 -0.495 -1.266
H7 -2.004 1.695 0.000
H8 2.988 -0.965 0.000
H9 -0.519 0.004 2.177
H10 -0.519 0.004 -2.177
H11 -0.579 -1.553 1.285
H12 -0.579 -1.553 -1.285
H13 -2.003 -0.468 1.287
H14 -2.003 -0.468 -1.287
H15 1.624 -1.688 0.895
H16 1.624 -1.688 -0.895
H17 1.505 0.849 0.892
H18 1.505 0.849 -0.892
H19 -0.541 2.222 0.897
H20 -0.541 2.222 -0.897

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20
C11.54552.62413.94073.12273.12274.79431.10483.43113.43112.82132.82134.15044.15041.10411.10412.17812.17814.21434.2143
C21.54551.55792.51402.55502.55503.48982.18852.77742.77742.84482.84483.51623.51622.20072.20071.10881.10882.75252.7525
C32.62411.55791.55001.54821.54822.19523.56582.19342.19342.20262.20262.18932.18932.90662.90662.17112.17112.19622.1962
C43.94072.51401.55002.51972.51971.10564.70262.77562.77563.49603.49602.73992.73994.30424.30422.69542.69541.10601.1060
C53.12272.55501.54822.51972.53242.76084.11411.10593.50021.10452.77971.10572.78232.81423.52912.77903.49832.76543.4918
C63.12272.55501.54822.51972.53242.76084.11413.50021.10592.77971.10452.78231.10573.52912.81423.49832.77903.49182.7654
H74.79433.48982.19521.10562.76082.76085.65613.13103.13103.77163.77162.51712.51715.04025.04023.71763.71761.79511.7951
H81.10482.18853.56584.70264.11414.11415.65614.24054.24053.83693.83695.17855.17851.78501.78502.50702.50704.83914.8391
H93.43112.77742.19342.77561.10593.50023.13104.24054.35481.79543.79641.79393.79843.01654.11062.54273.77242.56093.7914
H103.43112.77742.19342.77563.50021.10593.13104.24054.35483.79641.79543.79841.79394.11063.01653.77242.54273.79142.5609
H112.82132.84482.20263.49601.10452.77973.77163.83691.79543.79642.56941.78993.13332.24113.10223.20423.85343.79464.3601
H122.82132.84482.20263.49602.77971.10453.77163.83693.79641.79542.56943.13331.78993.10222.24113.85343.20424.36013.7946
H134.15043.51622.18932.73991.10572.78232.51715.17851.79393.79841.78993.13332.57413.84664.40523.76834.33483.08683.7614
H144.15043.51622.18932.73992.78231.10572.51715.17853.79841.79393.13331.78992.57414.40523.84664.33483.76833.76143.0868
H151.10412.20072.90664.30422.81423.52915.04021.78503.01654.11062.24113.10223.84664.40521.79072.53993.10564.46934.8155
H161.10412.20072.90664.30423.52912.81425.04021.78504.11063.01653.10222.24114.40523.84661.79073.10562.53994.81554.4693
H172.17811.10882.17112.69542.77903.49833.71762.50702.54273.77243.20423.85343.76834.33482.53993.10561.78322.46403.0450
H182.17811.10882.17112.69543.49832.77903.71762.50703.77242.54273.85343.20424.33483.76833.10562.53991.78323.04502.4640
H194.21432.75252.19621.10602.76543.49181.79514.83912.56093.79143.79464.36013.08683.76144.46934.81552.46403.04501.7948
H204.21432.75252.19621.10603.49182.76541.79514.83913.79142.56094.36013.79463.76143.08684.81554.46933.04502.46401.7948

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 115.463 C1 C2 H17 109.186
C1 C2 H18 109.186 C2 C1 H8 110.226
C2 C1 H15 111.230 C2 C1 H16 111.230
C2 C3 C4 107.982 C2 C3 C5 110.690
C2 C3 C6 110.690 C3 C2 H17 107.817
C3 C2 H18 107.817 C3 C4 H7 110.390
C3 C4 H19 110.441 C3 C4 H20 110.441
C3 C5 H9 110.355 C3 C5 H11 111.163
C3 C5 H13 110.047 C3 C6 H10 110.355
C3 C6 H12 111.163 C3 C6 H14 110.047
C4 C3 C5 108.837 C4 C3 C6 108.837
C5 C3 C6 109.747 H7 C4 H19 108.519
H7 C4 H20 108.519 H8 C1 H15 107.821
H8 C1 H16 107.821 H9 C5 H11 108.634
H9 C5 H13 108.410 H10 C6 H12 108.634
H10 C6 H14 108.410 H11 C5 H13 108.155
H12 C6 H14 108.155 H15 C1 H16 108.379
H17 C2 H18 107.048 H19 C4 H20 108.468
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.606      
2 C -0.350      
3 C -0.163      
4 C -0.536      
5 C -0.545      
6 C -0.545      
7 H 0.193      
8 H 0.201      
9 H 0.193      
10 H 0.193      
11 H 0.198      
12 H 0.198      
13 H 0.195      
14 H 0.195      
15 H 0.202      
16 H 0.202      
17 H 0.194      
18 H 0.194      
19 H 0.194      
20 H 0.194      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.026 -0.016 0.000 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.341 0.087 0.000
y 0.087 -41.726 0.000
z 0.000 0.000 -41.482
Traceless
 xyz
x 0.263 0.087 0.000
y 0.087 -0.315 0.000
z 0.000 0.000 0.052
Polar
3z2-r20.104
x2-y20.385
xy0.087
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.696 -0.419 0.000
y -0.419 9.114 0.000
z 0.000 0.000 8.926


<r2> (average value of r2) Å2
<r2> 197.903
(<r2>)1/2 14.068