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All results from a given calculation for C7H16 (2-methylhexane)

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-274.908041
Energy at 298.15K-274.925392
Nuclear repulsion energy316.776131
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 B3LYP/3-21G
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 3117 3007 34.54      
2 A 3111 3002 96.77      
3 A 3109 3000 38.63      
4 A 3107 2998 66.67      
5 A 3105 2996 26.00      
6 A 3097 2988 3.79      
7 A 3089 2980 18.57      
8 A 3063 2955 1.90      
9 A 3053 2946 15.81      
10 A 3044 2938 40.17      
11 A 3044 2937 20.90      
12 A 3041 2935 35.45      
13 A 3037 2930 21.66      
14 A 3032 2926 3.44      
15 A 3028 2922 3.69      
16 A 3020 2914 7.23      
17 A 1578 1523 17.74      
18 A 1573 1518 4.10      
19 A 1570 1515 3.67      
20 A 1567 1512 7.69      
21 A 1562 1507 3.22      
22 A 1559 1504 2.08      
23 A 1556 1501 1.00      
24 A 1548 1494 0.14      
25 A 1539 1485 0.28      
26 A 1468 1416 7.10      
27 A 1461 1410 3.74      
28 A 1450 1399 8.90      
29 A 1406 1357 3.29      
30 A 1402 1352 4.95      
31 A 1396 1347 1.40      
32 A 1376 1328 0.22      
33 A 1370 1322 0.60      
34 A 1356 1308 0.55      
35 A 1323 1276 0.01      
36 A 1290 1245 1.36      
37 A 1230 1187 0.29      
38 A 1212 1170 6.87      
39 A 1177 1136 1.29      
40 A 1107 1068 8.82      
41 A 1079 1041 1.75      
42 A 1050 1013 0.28      
43 A 1014 978 0.68      
44 A 987 953 0.36      
45 A 969 935 0.97      
46 A 952 919 1.49      
47 A 937 904 1.82      
48 A 909 877 3.02      
49 A 831 802 1.36      
50 A 801 773 0.11      
51 A 752 726 5.44      
52 A 486 469 0.45      
53 A 440 424 0.19      
54 A 411 397 0.12      
55 A 308 297 0.05      
56 A 304 294 0.00      
57 A 261 252 0.00      
58 A 244 236 0.00      
59 A 232 224 0.01      
60 A 146 140 0.01      
61 A 132 127 0.03      
62 A 79 77 0.01      
63 A 63 61 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 48279.5 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 46584.9 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 B3LYP/3-21G
ABC
0.20153 0.03287 0.02997

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.839 -0.899 -0.045
C2 -1.646 0.033 -0.359
C3 -0.335 -0.576 0.196
C4 0.947 0.175 -0.229
C5 2.231 -0.507 0.294
C6 3.509 0.247 -0.133
C7 -1.913 1.440 0.222
H8 -3.772 -0.488 -0.448
H9 -2.683 -1.894 -0.478
H10 -2.953 -1.010 1.041
H11 -1.548 0.118 -1.451
H12 -0.396 -0.600 1.294
H13 -0.258 -1.618 -0.147
H14 0.988 0.225 -1.327
H15 0.918 1.207 0.143
H16 2.186 -0.564 1.390
H17 2.269 -1.538 -0.082
H18 4.408 -0.250 0.247
H19 3.580 0.294 -1.227
H20 3.495 1.274 0.251
H21 -2.006 1.381 1.314
H22 -1.103 2.136 -0.019
H23 -2.847 1.852 -0.179

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.54582.53663.93935.09636.45072.52951.09621.09631.09732.16232.80162.68074.18954.31055.23675.14807.28176.63456.70262.78183.49612.7537
C21.54581.54932.60033.96905.16431.54512.19042.19162.18041.09962.16742.16732.81332.86414.25494.22826.09115.30395.32392.17822.19802.1861
C32.53661.54931.54482.56833.94402.56043.49842.77632.78542.16041.09991.09962.17042.17902.78902.78984.75394.25464.25312.80562.82643.5134
C43.93932.60031.54481.54522.56453.15984.77024.18544.26922.77862.17412.16151.09931.09732.16862.16903.51942.81782.81633.54342.84454.1480
C55.09633.96902.56831.54521.54394.57946.04875.16395.26184.20912.81302.76122.16942.16451.09821.09812.19252.18462.18444.74954.26595.6188
C66.45075.16433.94402.56451.54395.56287.32446.56046.68675.22714.24324.20332.78872.77662.17382.17421.09571.09641.09655.81294.98456.5548
C72.52951.54512.56043.15984.57945.56282.76073.49252.78412.16362.75923.49613.50632.84164.71005.14336.54305.79505.41071.09751.09481.0964
H81.09622.19043.49844.77026.04877.32442.76071.77851.77712.51373.80043.70304.89295.02146.23576.14268.21297.43407.51013.11733.76732.5304
H91.09632.19162.77634.18545.16396.56043.49251.77851.77802.50613.16902.46274.32294.79215.38214.98067.31516.67606.98093.79404.35263.7610
H101.09732.18042.78544.26925.26186.68672.78411.77711.77803.07452.60183.00694.76064.54995.17065.36777.44267.03686.88582.58583.79983.1121
H112.16231.09962.16042.77864.20915.22712.16362.51372.50613.07453.06242.52492.54173.13154.74124.38036.20435.13575.44683.07432.51442.5122
H122.80162.16741.09992.17412.81304.24322.75923.80043.16902.60183.06241.76923.07702.51372.58473.14304.92944.79204.44322.55283.11613.7667
H132.68072.16731.09962.16152.76124.20333.49613.70302.46273.00692.52491.76922.51813.07303.07362.52954.87864.42174.75463.76553.84934.3285
H144.18952.81332.17041.09932.16942.78873.50634.89294.32294.76062.54173.07702.51811.76873.07182.50963.79432.59423.14234.15643.12024.3210
H154.31052.86412.17901.09732.16452.77662.84165.02144.79214.54993.13152.51373.07301.76872.50983.06783.78323.12932.58043.15442.22983.8328
H165.23674.25492.78902.16861.09822.17384.71006.23575.38215.17064.74122.58473.07363.07182.50981.76702.51763.08572.52694.62204.48235.7989
H175.14804.22822.78982.16901.09812.17425.14336.14264.98065.36774.38033.14302.52952.50963.06781.76702.51872.52703.08585.36164.98736.1378
H187.28176.09114.75393.51942.19251.09576.54308.21297.31517.44266.20434.92944.87863.79433.78322.51762.51871.77611.77616.70326.01087.5648
H196.63455.30394.25462.81782.18461.09645.79507.43406.67607.03685.13574.79204.42172.59423.12933.08572.52701.77611.77506.23165.17456.6948
H206.70265.32394.25312.81632.18441.09655.41077.51016.98096.88585.44684.44324.75463.14232.58042.52693.08581.77611.77505.60354.68576.3824
H212.78182.17822.80563.54344.74955.81291.09753.11733.79402.58583.07432.55283.76554.15643.15444.62205.36166.70326.23165.60351.77811.7771
H223.49612.19802.82642.84454.26594.98451.09483.76734.35263.79982.51443.11613.84933.12022.22984.48234.98736.01085.17454.68571.77811.7740
H232.75372.18613.51344.14805.61886.55481.09642.53043.76103.11212.51223.76674.32854.32103.83285.79896.13787.56486.69486.38241.77711.7740

picture of 2-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 110.082 C1 C2 C7 109.840
C1 C2 H11 108.469 C2 C1 H8 110.862
C2 C1 H9 110.947 C2 C1 H10 110.007
C2 C3 C4 114.368 C2 C3 H12 108.606
C2 C3 H13 108.620 C2 C7 H21 109.869
C2 C7 H22 111.591 C2 C7 H23 110.559
C3 C2 C7 111.669 C3 C2 H11 108.083
C3 C4 C5 112.435 C3 C4 H14 109.175
C3 C4 H15 109.961 C4 C3 H12 109.427
C4 C3 H13 108.473 C4 C5 C6 112.232
C4 C5 H16 109.074 C4 C5 H17 109.106
C5 C4 H14 109.070 C5 C4 H15 108.803
C5 C6 H18 111.187 C5 C6 H19 110.513
C5 C6 H20 110.496 C6 C5 H16 109.568
C6 C5 H17 109.600 C7 C2 H11 108.615
H8 C1 H9 108.418 H8 C1 H10 108.226
H9 C1 H10 108.294 H12 C3 H13 107.104
H14 C4 H15 107.258 H16 C5 H17 107.126
H18 C6 H19 108.232 H18 C6 H20 108.228
H19 C6 H20 108.083 H21 C7 H22 108.401
H21 C7 H23 108.204 H22 C7 H23 108.120
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.526      
2 C -0.247      
3 C -0.332      
4 C -0.364      
5 C -0.376      
6 C -0.551      
7 C -0.531      
8 H 0.182      
9 H 0.182      
10 H 0.182      
11 H 0.184      
12 H 0.177      
13 H 0.180      
14 H 0.180      
15 H 0.187      
16 H 0.185      
17 H 0.184      
18 H 0.185      
19 H 0.185      
20 H 0.185      
21 H 0.181      
22 H 0.188      
23 H 0.183      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.016 -0.005 -0.030 0.035
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.762 -0.202 0.172
y -0.202 -48.436 0.196
z 0.172 0.196 -47.940
Traceless
 xyz
x -0.574 -0.202 0.172
y -0.202 -0.085 0.196
z 0.172 0.196 0.659
Polar
3z2-r21.318
x2-y2-0.326
xy-0.202
xz0.172
yz0.196


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.550 0.003 0.026
y 0.003 10.027 0.023
z 0.026 0.023 9.441


<r2> (average value of r2) Å2
<r2> 388.635
(<r2>)1/2 19.714