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All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: B3PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-276.236469
Energy at 298.15K-276.253744
Nuclear repulsion energy321.365450
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
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 3142 3010 33.57      
2 A 3135 3003 70.51      
3 A 3131 2999 41.02      
4 A 3128 2996 67.87      
5 A 3128 2995 57.69      
6 A 3127 2995 13.01      
7 A 3088 2958 40.10      
8 A 3071 2941 25.59      
9 A 3054 2925 6.75      
10 A 3048 2919 24.90      
11 A 3046 2917 27.71      
12 A 3044 2915 43.10      
13 A 3037 2909 49.54      
14 A 3027 2899 43.19      
15 A 3013 2886 12.56      
16 A 3000 2873 9.19      
17 A 1558 1492 10.61      
18 A 1551 1486 12.92      
19 A 1548 1483 5.32      
20 A 1542 1477 7.26      
21 A 1541 1476 5.60      
22 A 1539 1474 9.52      
23 A 1537 1472 0.15      
24 A 1532 1468 0.20      
25 A 1520 1456 0.28      
26 A 1458 1396 10.28      
27 A 1455 1394 3.62      
28 A 1450 1389 9.69      
29 A 1419 1359 0.55      
30 A 1405 1345 1.11      
31 A 1398 1339 1.68      
32 A 1371 1313 0.63      
33 A 1351 1294 0.55      
34 A 1332 1275 0.15      
35 A 1318 1262 0.43      
36 A 1289 1234 1.37      
37 A 1229 1177 0.09      
38 A 1206 1155 5.84      
39 A 1196 1145 0.59      
40 A 1122 1075 4.89      
41 A 1090 1044 2.34      
42 A 1073 1027 0.74      
43 A 1061 1016 1.24      
44 A 1022 979 5.44      
45 A 1002 959 4.25      
46 A 964 923 3.76      
47 A 903 865 1.54      
48 A 895 857 1.10      
49 A 842 806 0.81      
50 A 796 763 4.83      
51 A 764 732 3.32      
52 A 514 492 0.50      
53 A 444 425 0.29      
54 A 381 365 0.20      
55 A 326 312 0.06      
56 A 299 287 0.00      
57 A 258 247 0.01      
58 A 239 229 0.01      
59 A 211 202 0.04      
60 A 154 147 0.03      
61 A 106 101 0.01      
62 A 76 73 0.00      
63 A 61 59 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 48281.8 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 46239.5 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
ABC
0.19180 0.03616 0.03260

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.572 0.137 -0.210
H2 -0.589 0.109 -1.313
C3 -0.769 1.596 0.231
C4 -1.714 -0.771 0.296
C5 0.791 -0.421 0.252
C6 -3.098 -0.441 -0.271
C7 2.020 0.255 -0.371
C8 3.335 -0.414 0.044
H9 -0.759 1.671 1.327
H10 0.023 2.246 -0.157
H11 -1.723 2.000 -0.125
H12 -1.743 -0.723 1.396
H13 -1.465 -1.812 0.042
H14 0.827 -1.495 0.014
H15 0.852 -0.348 1.350
H16 -3.844 -1.169 0.068
H17 -3.445 0.551 0.042
H18 -3.088 -0.461 -1.368
H19 2.051 1.316 -0.088
H20 1.926 0.232 -1.467
H21 4.199 0.081 -0.413
H22 3.468 -0.380 1.133
H23 3.354 -1.468 -0.259

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10391.53671.54401.54342.59222.60003.95412.17912.19152.19122.16522.15892.16162.16753.53402.91322.83382.87842.79884.77614.28854.2418
H21.10392.15162.15152.15252.77242.77784.18483.07242.50572.50523.05962.50872.51743.06253.75983.19202.56413.15112.52304.87204.76214.3751
C31.53672.15162.54952.55003.13453.15304.57401.09851.09531.09532.77183.48373.48602.76834.13872.87883.48782.85213.46585.23414.76155.1605
C41.54402.15152.54952.52911.53223.92945.06762.81723.51022.80251.10111.10012.65682.80602.17912.19272.18064.32154.16726.01605.26315.1452
C51.54342.15252.55002.52913.92411.53532.55292.81682.80513.51032.79602.65871.10121.10214.69824.35054.20392.17252.16153.50902.81852.8156
C62.59222.77243.13451.53223.92415.16666.44123.53304.11972.80482.16662.15534.07434.27121.09621.09571.09745.44395.20897.31766.71476.5334
C72.60002.77783.15303.92941.53535.16661.53283.55162.82814.13744.27074.07342.15332.16586.05065.48865.25391.09831.10032.18642.18202.1821
C83.95414.18484.57405.06762.55296.44121.53284.77054.25305.60745.26374.99972.73152.80607.21866.84816.57702.15832.16471.09611.09721.0971
H92.17913.07241.09852.81722.81683.53303.55164.77051.77301.77322.58903.77903.77712.58394.37803.18074.15083.16624.13425.49034.70265.4119
H102.19152.50571.09533.51022.80514.11972.82814.25301.77301.76373.78704.32673.83043.11285.16393.86494.29772.23263.06554.71124.51974.9901
H112.19122.50521.09532.80253.51032.80484.13745.60741.77321.76373.11843.82414.32873.78463.81802.25633.07603.83624.27196.23235.84756.1500
H122.16523.05962.77181.10112.79602.16664.27075.26372.58903.78703.11841.75963.01822.62242.52522.52003.08504.55514.75106.26315.22845.4101
H132.15892.50873.48371.10012.65872.15534.07344.99973.77904.32673.82411.75962.31403.03722.46403.08232.53944.70804.23785.98985.25124.8406
H142.16162.51743.48602.65681.10124.07432.15332.73153.77713.83044.32873.01822.31401.76134.68234.73634.27883.06782.52703.74713.07752.5418
H152.16753.06252.76832.80601.10214.27122.16582.80602.58393.11283.78462.62243.03721.76134.93684.58084.78842.50443.07043.80732.62463.1781
H163.53403.75984.13872.17914.69821.09626.05067.21864.37805.16393.81802.52522.46404.68234.93681.76601.77076.39936.13338.15407.43087.2112
H172.91323.19202.87882.19274.35051.09575.48866.84813.18073.86492.25632.52003.08234.73634.58081.76601.77145.55055.58847.67207.05977.0984
H182.83382.56413.48782.18064.20391.09745.25396.57704.15084.29773.07603.08502.53944.27884.78841.77071.77145.58665.06347.36987.01736.6140
H192.87843.15112.85214.32152.17255.44391.09832.15833.16622.23263.83624.55514.70803.06782.50446.39935.55055.58661.75922.49892.52423.0785
H202.79882.52303.46584.16722.16155.20891.10032.16474.13423.06554.27194.75104.23782.52703.07046.13335.58845.06341.75922.50993.08392.5273
H214.77614.87205.23416.01603.50907.31762.18641.09615.49034.71126.23236.26315.98983.74713.80738.15407.67207.36982.49892.50991.77141.7719
H224.28854.76214.76155.26312.81856.71472.18201.09724.70264.51975.84755.22845.25123.07752.62467.43087.05977.01732.52423.08391.77141.7705
H234.24184.37515.16055.14522.81566.53342.18211.09715.41194.99016.15005.41014.84062.54183.17817.21127.09846.61403.07852.52731.77191.7705

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.463 C1 C3 H10 111.646
C1 C3 H11 111.618 C1 C4 C6 114.842
C1 C4 H12 108.726 C1 C4 H13 108.306
C1 C5 C7 115.238 C1 C5 H14 108.485
C1 C5 H15 108.887 H2 C1 C3 108.017
H2 C1 C4 107.518 H2 C1 C5 107.640
C3 C1 C4 111.699 C3 C1 C5 111.767
C4 C1 C5 110.001 C4 C6 H16 110.911
C4 C6 H17 112.032 C4 C6 H18 110.958
C5 C7 C8 112.620 C5 C7 H19 110.051
C5 C7 H20 109.073 C6 C4 H12 109.639
C6 C4 H13 108.821 C7 C5 H14 108.395
C7 C5 H15 109.307 C7 C8 H21 111.464
C7 C8 H22 111.046 C7 C8 H23 111.056
C8 C7 H19 109.113 C8 C7 H20 109.496
H9 C3 H10 107.835 H9 C3 H11 107.851
H10 C3 H11 107.246 H12 C4 H13 106.145
H14 C5 H15 106.143 H16 C6 H17 107.351
H16 C6 H18 107.642 H17 C6 H18 107.750
H19 C7 H20 106.289 H21 C8 H22 107.738
H21 C8 H23 107.783 H22 C8 H23 107.579
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.132      
2 H 0.143      
3 C -0.476      
4 C -0.288      
5 C -0.277      
6 C -0.483      
7 C -0.304      
8 C -0.478      
9 H 0.151      
10 H 0.158      
11 H 0.158      
12 H 0.147      
13 H 0.149      
14 H 0.145      
15 H 0.143      
16 H 0.156      
17 H 0.159      
18 H 0.155      
19 H 0.156      
20 H 0.151      
21 H 0.155      
22 H 0.156      
23 H 0.156      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.004 -0.003 -0.039 0.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.303 0.242 -0.142
y 0.242 -47.961 0.174
z -0.142 0.174 -47.705
Traceless
 xyz
x -0.470 0.242 -0.142
y 0.242 0.043 0.174
z -0.142 0.174 0.427
Polar
3z2-r20.853
x2-y2-0.342
xy0.242
xz-0.142
yz0.174


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.904 0.067 -0.012
y 0.067 10.502 0.005
z -0.012 0.005 9.963


<r2> (average value of r2) Å2
<r2> 363.400
(<r2>)1/2 19.063