WebMO Job Summary

33271: K, Natural Bond Orbitals - Gaussian

Calculated Quantities

Expand all

Overview

Quantity Value
Route #N B3LYP/6-311+G(2d,p) SP GFINPUT POP=(FULL,NBORead) Geom=Connectivity
Method B3LYP
Stoichiometry K(2)
Symmetry OH
Basis 6-311+G(2d,p)
UB3LYP Energy -599.926186394 Hartree
Dipole Moment 0.0000 Debye
Server class (33795)
CPU time 2.1 sec

Partial Charges

Atom Symbol Charge
1 K -0.000000  

Molecular Orbitals

Orbital Symmetry Occupancy Spin Energy () Actions
1 A1G 1 α -129.78819
2 A1G 1 α -13.20674
3 T1U 1 α -10.55206
4 T1U 1 α -10.55206
5 T1U 1 α -10.55206
6 A1G 1 α -1.38269
7 T1U 1 α -0.74928
8 T1U 1 α -0.74928
9 T1U 1 α -0.74928
10 A1G 1 α -0.1067
11 T1U 0 α -0.02391
12 T1U 0 α -0.02391
13 T1U 0 α -0.02391
14 A1G 0 α -0.00168
15 T1U 0 α 0.00701
16 T1U 0 α 0.00701
17 T1U 0 α 0.00701
18 A1G 0 α 0.04959
19 T1U 0 α 0.07114
20 T1U 0 α 0.07114
21 T1U 0 α 0.07114
22 T2G 0 α 0.08325
23 T2G 0 α 0.08325
24 T2G 0 α 0.08325
25 EG 0 α 0.08325
26 EG 0 α 0.08325
27 T2G 0 α 0.46808
28 T2G 0 α 0.46808
29 T2G 0 α 0.46808
30 EG 0 α 0.46808
31 EG 0 α 0.46808
32 T1U 0 α 0.69773
33 T1U 0 α 0.69773
34 T1U 0 α 0.69773
35 A1G 0 α 1.13684
36 T2G 0 α 1.97122
37 T2G 0 α 1.97122
38 T2G 0 α 1.97122
39 EG 0 α 1.97122
40 EG 0 α 1.97122
41 T1U 0 α 3.75631
42 T1U 0 α 3.75631
43 T1U 0 α 3.75631
44 A1G 0 α 12.14365
45 T1U 0 α 93.88621
46 T1U 0 α 93.88621
47 T1U 0 α 93.88621
48 A1G 0 α 283.25101
49 A1G 1 β -129.7874
50 A1G 1 β -13.20572
51 T1U 1 β -10.55138
52 T1U 1 β -10.55138
53 T1U 1 β -10.55138
54 A1G 1 β -1.37998
55 T1U 1 β -0.74728
56 T1U 1 β -0.74728
57 T1U 1 β -0.74728
58 A1G 0 β -0.05864
59 T1U 0 β -0.00781
60 T1U 0 β -0.00781
61 T1U 0 β -0.00781
62 A1G 0 β 0.00273
63 T1U 0 β 0.01196
64 T1U 0 β 0.01196
65 T1U 0 β 0.01196
66 A1G 0 β 0.06093
67 T1U 0 β 0.08202
68 T1U 0 β 0.08202
69 T1U 0 β 0.08202
70 T2G 0 β 0.0918
71 T2G 0 β 0.0918
72 T2G 0 β 0.0918
73 EG 0 β 0.0918
74 EG 0 β 0.0918
75 T2G 0 β 0.47429
76 T2G 0 β 0.47429
77 T2G 0 β 0.47429
78 EG 0 β 0.47429
79 EG 0 β 0.47429
80 T1U 0 β 0.70461
81 T1U 0 β 0.70461
82 T1U 0 β 0.70461
83 A1G 0 β 1.14363
84 T2G 0 β 1.97506
85 T2G 0 β 1.97506
86 T2G 0 β 1.97506
87 EG 0 β 1.97506
88 EG 0 β 1.97506
89 T1U 0 β 3.75786
90 T1U 0 β 3.75786
91 T1U 0 β 3.75786
92 A1G 0 β 12.1453
93 T1U 0 β 93.8865
94 T1U 0 β 93.8865
95 T1U 0 β 93.8865
96 A1G 0 β 283.25205
Electron density
Electrostatic potential
Electrophilic (HOMO) frontier density
Nucleophilic (LUMO) frontier density
Radical frontier density

Natural Population Analysis

Atom Symbol Charge
1 K -0.50000  

Natural Population Analysis

Atom Symbol Charge
1 K 0.50000  

Natural Atomic Orbitals

Orbital Description Occupancy Spin Energy () Actions
1 K1 Cor(1S) 1.000000000 - -129.615343656
2 K1 Cor(2S) 1.000000000 - -13.378049606
3 K1 Val(3S) 0.999999874 - -1.384232392
4 K1 Cor(4S) 1.000000000 - -0.106697867
5 K1 Ryd(7S) 0.000000126 - 1.116961617
6 K1 Ryd(6S) 0.000000000 - 0.186903150
7 K1 Ryd(9S) 0.000000000 - 282.920853905
8 K1 Ryd(8S) 0.000000000 - 12.325853128
9 K1 Ryd(5S) 0.000000000 - 0.028843073
10 K1 Cor(2p) 1.000000000 - -10.551890492
11 K1 Cor(3p) 0.999997918 - -0.749448537
12 K1 Ryd(4p) 0.000002082 - 0.062529047
13 K1 Ryd(8p) -0.000000000 - 29.535090157
14 K1 Ryd(5p) -0.000000000 - 0.274204942
15 K1 Ryd(9p) 0.000000000 - 61.800054897
16 K1 Ryd(6p) 0.000000000 - 1.507298794
17 K1 Ryd(7p) 0.000000000 - 5.215309370
18 K1 Cor(2p) 1.000000000 - -10.551890492
19 K1 Cor(3p) 0.999997918 - -0.749448537
20 K1 Ryd(4p) 0.000002082 - 0.062529047
21 K1 Ryd(8p) -0.000000000 - 29.535090157
22 K1 Ryd(5p) -0.000000000 - 0.274204942
23 K1 Ryd(9p) -0.000000000 - 61.800054897
24 K1 Ryd(6p) 0.000000000 - 1.507298794
25 K1 Ryd(7p) -0.000000000 - 5.215309370
26 K1 Cor(2p) 1.000000000 - -10.551890492
27 K1 Cor(3p) 0.999997918 - -0.749448537
28 K1 Ryd(4p) 0.000002082 - 0.062529047
29 K1 Ryd(8p) 0.000000000 - 29.535090157
30 K1 Ryd(5p) -0.000000000 - 0.274204942
31 K1 Ryd(9p) 0.000000000 - 61.800054897
32 K1 Ryd(6p) 0.000000000 - 1.507298794
33 K1 Ryd(7p) -0.000000000 - 5.215309370
34 K1 Ryd(4d) 0.000000000 - 0.487623521
35 K1 Ryd(5d) 0.000000000 - 1.902844260
36 K1 Ryd(3d) 0.000000000 - 0.132082049
37 K1 Ryd(4d) 0.000000000 - 0.487623521
38 K1 Ryd(5d) 0.000000000 - 1.902844260
39 K1 Ryd(3d) 0.000000000 - 0.132082049
40 K1 Ryd(4d) 0.000000000 - 0.487623521
41 K1 Ryd(5d) 0.000000000 - 1.902844260
42 K1 Ryd(3d) 0.000000000 - 0.132082049
43 K1 Ryd(4d) 0.000000000 - 0.487623521
44 K1 Ryd(5d) 0.000000000 - 1.902844260
45 K1 Ryd(3d) 0.000000000 - 0.132082049
46 K1 Ryd(4d) 0.000000000 - 0.487623521
47 K1 Ryd(5d) 0.000000000 - 1.902844260
48 K1 Ryd(3d) 0.000000000 - 0.132082049

Natural Hybrid Orbitals

Orbital Description Occupancy Spin Energy () Actions
1 CR(1)K1 s(100.00%) 1.000000000 α -129.615343656
2 CR(2)K1 s(100.00%) 1.000000000 α -13.378049606
3 CR(3)K1 s(100.00%) 1.000000000 α -0.106697867
4 CR(4)K1 s(0.00%)p1.00(100.00%) 1.000000000 α -10.551890492
5 CR(5)K1 s(0.00%)p1.00(100.00%) 0.999997918 α -0.749448537
6 CR(6)K1 s(0.00%)p1.00(100.00%) 1.000000000 α -10.551890492
7 CR(7)K1 s(0.00%)p1.00(100.00%) 0.999997918 α -0.749448537
8 CR(8)K1 s(0.00%)p1.00(100.00%) 1.000000000 α -10.551890492
9 CR(9)K1 s(0.00%)p1.00(100.00%) 0.999997918 α -0.749448537
10 LP(1)K1 s(100.00%) 1.000000000 α -1.384232709
11 RY*(1)K1 s(100.00%) 0.000000000 α 1.116961934
12 RY*(2)K1 s(100.00%) 0.000000000 α 0.186903150
13 RY*(3)K1 s(100.00%) 0.000000000 α 282.920853905
14 RY*(4)K1 s(100.00%) 0.000000000 α 12.325853128
15 RY*(5)K1 s(100.00%) 0.000000000 α 0.028843073
16 RY*(6)K1 s(0.00%)p1.00(100.00%) 0.000002082 α 0.062529047
17 RY*(7)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 29.535090157
18 RY*(8)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 0.274204942
19 RY*(9)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 61.800054897
20 RY*(10)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 1.507298794
21 RY*(11)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 5.215309370
22 RY*(12)K1 s(0.00%)p1.00(100.00%) 0.000002082 α 0.062529047
23 RY*(13)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 29.535090157
24 RY*(14)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 0.274204942
25 RY*(15)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 61.800054897
26 RY*(16)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 1.507298794
27 RY*(17)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 5.215309370
28 RY*(18)K1 s(0.00%)p1.00(100.00%) 0.000002082 α 0.062529047
29 RY*(19)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 29.535090157
30 RY*(20)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 0.274204942
31 RY*(21)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 61.800054897
32 RY*(22)K1 s(0.00%)p1.00(100.00%) 0.000000000 α 1.507298794
33 RY*(23)K1 s(0.00%)p1.00(100.00%) -0.000000000 α 5.215309370
34 RY*(24)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.487623521
35 RY*(25)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 1.902844260
36 RY*(26)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.132082049
37 RY*(27)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.487623521
38 RY*(28)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 1.902844260
39 RY*(29)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.132082049
40 RY*(30)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.487623521
41 RY*(31)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 1.902844260
42 RY*(32)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.132082049
43 RY*(33)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.487623521
44 RY*(34)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 1.902844260
45 RY*(35)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.132082049
46 RY*(36)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.487623521
47 RY*(37)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 1.902844260
48 RY*(38)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 α 0.132082049
49 CR(1)K1 s(100.00%) 1.000000000 β -129.614557614
50 CR(2)K1 s(100.00%) 1.000000000 β -13.377017025
51 CR(3)K1 s(100.00%) 0.999999874 β -1.381524426
52 CR(4)K1 s(0.00%)p1.00(100.00%) 1.000000000 β -10.551212069
53 CR(5)K1 s(0.00%)p1.00(100.00%) 0.999997918 β -0.747455093
54 CR(6)K1 s(0.00%)p1.00(100.00%) 1.000000000 β -10.551212069
55 CR(7)K1 s(0.00%)p1.00(100.00%) 0.999997918 β -0.747455093
56 CR(8)K1 s(0.00%)p1.00(100.00%) 1.000000000 β -10.551212069
57 CR(9)K1 s(0.00%)p1.00(100.00%) 0.999997918 β -0.747455093
58 LP(1)K1 s(100.00%) 0.000000000 β -0.058393947
59 RY*(1)K1 s(100.00%) 0.000000126 β 1.124111484
60 RY*(2)K1 s(100.00%) 0.000000000 β 0.197099402
61 RY*(3)K1 s(100.00%) 0.000000000 β 282.921892793
62 RY*(4)K1 s(100.00%) 0.000000000 β 12.327679714
63 RY*(5)K1 s(100.00%) 0.000000000 β 0.033608710
64 RY*(6)K1 s(0.00%)p1.00(100.00%) 0.000002082 β 0.081600608
65 RY*(7)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 29.540894888
66 RY*(8)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 0.276443686
67 RY*(9)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 61.803118474
68 RY*(10)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 1.513192310
69 RY*(11)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 5.219892462
70 RY*(12)K1 s(0.00%)p1.00(100.00%) 0.000002082 β 0.081600608
71 RY*(13)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 29.540894888
72 RY*(14)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 0.276443686
73 RY*(15)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 61.803118474
74 RY*(16)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 1.513192310
75 RY*(17)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 5.219892462
76 RY*(18)K1 s(0.00%)p1.00(100.00%) 0.000002082 β 0.081600608
77 RY*(19)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 29.540894888
78 RY*(20)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 0.276443686
79 RY*(21)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 61.803118474
80 RY*(22)K1 s(0.00%)p1.00(100.00%) 0.000000000 β 1.513192310
81 RY*(23)K1 s(0.00%)p1.00(100.00%) -0.000000000 β 5.219892462
82 RY*(24)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.490189379
83 RY*(25)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 1.906784708
84 RY*(26)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.144173918
85 RY*(27)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.490189379
86 RY*(28)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 1.906784708
87 RY*(29)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.144173918
88 RY*(30)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.490189379
89 RY*(31)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 1.906784708
90 RY*(32)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.144173918
91 RY*(33)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.490189380
92 RY*(34)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 1.906784708
93 RY*(35)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.144173918
94 RY*(36)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.490189380
95 RY*(37)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 1.906784708
96 RY*(38)K1 s(0.00%)p0.00(0.00%)d1.00(100.00%) 0.000000000 β 0.144173918

Natural Bond Orbitals

Orbital Description NHOs Occupancy Spin Energy () Actions
1 CR(1)K1 1100 1.000000000 α -129.615343656
2 CR(2)K1 1101 1.000000000 α -13.378049606
3 CR(3)K1 1102 1.000000000 α -0.106697867
4 CR(4)K1 1103 1.000000000 α -10.551890492
5 CR(5)K1 1104 0.999997918 α -0.749448537
6 CR(6)K1 1105 1.000000000 α -10.551890492
7 CR(7)K1 1106 0.999997918 α -0.749448537
8 CR(8)K1 1107 1.000000000 α -10.551890492
9 CR(9)K1 1108 0.999997918 α -0.749448537
10 LP(1)K1 1109 1.000000000 α -1.384232709
11 RY*(1)K1 1110 0.000000000 α 1.116961934
12 RY*(2)K1 1111 0.000000000 α 0.186903150
13 RY*(3)K1 1112 0.000000000 α 282.920853905
14 RY*(4)K1 1113 0.000000000 α 12.325853128
15 RY*(5)K1 1114 0.000000000 α 0.028843073
16 RY*(6)K1 1115 0.000002082 α 0.062529047
17 RY*(7)K1 1116 -0.000000000 α 29.535090157
18 RY*(8)K1 1117 -0.000000000 α 0.274204942
19 RY*(9)K1 1118 0.000000000 α 61.800054897
20 RY*(10)K1 1119 0.000000000 α 1.507298794
21 RY*(11)K1 1120 0.000000000 α 5.215309370
22 RY*(12)K1 1121 0.000002082 α 0.062529047
23 RY*(13)K1 1122 -0.000000000 α 29.535090157
24 RY*(14)K1 1123 -0.000000000 α 0.274204942
25 RY*(15)K1 1124 -0.000000000 α 61.800054897
26 RY*(16)K1 1125 0.000000000 α 1.507298794
27 RY*(17)K1 1126 -0.000000000 α 5.215309370
28 RY*(18)K1 1127 0.000002082 α 0.062529047
29 RY*(19)K1 1128 0.000000000 α 29.535090157
30 RY*(20)K1 1129 -0.000000000 α 0.274204942
31 RY*(21)K1 1130 0.000000000 α 61.800054897
32 RY*(22)K1 1131 0.000000000 α 1.507298794
33 RY*(23)K1 1132 -0.000000000 α 5.215309370
34 RY*(24)K1 1133 0.000000000 α 0.487623521
35 RY*(25)K1 1134 0.000000000 α 1.902844260
36 RY*(26)K1 1135 0.000000000 α 0.132082049
37 RY*(27)K1 1136 0.000000000 α 0.487623521
38 RY*(28)K1 1137 0.000000000 α 1.902844260
39 RY*(29)K1 1138 0.000000000 α 0.132082049
40 RY*(30)K1 1139 0.000000000 α 0.487623521
41 RY*(31)K1 1140 0.000000000 α 1.902844260
42 RY*(32)K1 1141 0.000000000 α 0.132082049
43 RY*(33)K1 1142 0.000000000 α 0.487623521
44 RY*(34)K1 1143 0.000000000 α 1.902844260
45 RY*(35)K1 1144 0.000000000 α 0.132082049
46 RY*(36)K1 1145 0.000000000 α 0.487623521
47 RY*(37)K1 1146 0.000000000 α 1.902844260
48 RY*(38)K1 1147 0.000000000 α 0.132082049
49 CR(1)K1 1148 1.000000000 β -129.614557614
50 CR(2)K1 1149 1.000000000 β -13.377017025
51 CR(3)K1 1150 0.999999874 β -1.381524426
52 CR(4)K1 1151 1.000000000 β -10.551212069
53 CR(5)K1 1152 0.999997918 β -0.747455093
54 CR(6)K1 1153 1.000000000 β -10.551212069
55 CR(7)K1 1154 0.999997918 β -0.747455093
56 CR(8)K1 1155 1.000000000 β -10.551212069
57 CR(9)K1 1156 0.999997918 β -0.747455093
58 LP(1)K1 1157 0.000000000 β -0.058393947
59 RY*(1)K1 1158 0.000000126 β 1.124111484
60 RY*(2)K1 1159 0.000000000 β 0.197099402
61 RY*(3)K1 1160 0.000000000 β 282.921892793
62 RY*(4)K1 1161 0.000000000 β 12.327679714
63 RY*(5)K1 1162 0.000000000 β 0.033608710
64 RY*(6)K1 1163 0.000002082 β 0.081600608
65 RY*(7)K1 1164 -0.000000000 β 29.540894888
66 RY*(8)K1 1165 -0.000000000 β 0.276443686
67 RY*(9)K1 1166 0.000000000 β 61.803118474
68 RY*(10)K1 1167 0.000000000 β 1.513192310
69 RY*(11)K1 1168 -0.000000000 β 5.219892462
70 RY*(12)K1 1169 0.000002082 β 0.081600608
71 RY*(13)K1 1170 0.000000000 β 29.540894888
72 RY*(14)K1 1171 -0.000000000 β 0.276443686
73 RY*(15)K1 1172 -0.000000000 β 61.803118474
74 RY*(16)K1 1173 0.000000000 β 1.513192310
75 RY*(17)K1 1174 -0.000000000 β 5.219892462
76 RY*(18)K1 1175 0.000002082 β 0.081600608
77 RY*(19)K1 1176 0.000000000 β 29.540894888
78 RY*(20)K1 1177 -0.000000000 β 0.276443686
79 RY*(21)K1 1178 -0.000000000 β 61.803118474
80 RY*(22)K1 1179 0.000000000 β 1.513192310
81 RY*(23)K1 1180 -0.000000000 β 5.219892462
82 RY*(24)K1 1181 0.000000000 β 0.490189379
83 RY*(25)K1 1182 0.000000000 β 1.906784708
84 RY*(26)K1 1183 0.000000000 β 0.144173918
85 RY*(27)K1 1184 0.000000000 β 0.490189379
86 RY*(28)K1 1185 0.000000000 β 1.906784708
87 RY*(29)K1 1186 0.000000000 β 0.144173918
88 RY*(30)K1 1187 0.000000000 β 0.490189379
89 RY*(31)K1 1188 0.000000000 β 1.906784708
90 RY*(32)K1 1189 0.000000000 β 0.144173918
91 RY*(33)K1 1190 0.000000000 β 0.490189380
92 RY*(34)K1 1191 0.000000000 β 1.906784708
93 RY*(35)K1 1192 0.000000000 β 0.144173918
94 RY*(36)K1 1193 0.000000000 β 0.490189380
95 RY*(37)K1 1194 0.000000000 β 1.906784708
96 RY*(38)K1 1195 0.000000000 β 0.144173918

Quote

IN NATURE THERE ARE NEITHER REWARDS OR PUNISHMENTS -- THERE ARE CONSEQUENCES. -- ROBERT GREEN INGERSOLL