Master Isotope Table (Z = 1–118) – SolveForce Unified Intelligence

Known vs Predicted + Resonant Frequencies

This ledger shows for each element:

Known isotopes (experimentally observed)
Stable (strict) isotopes (per IUPAC; ultra-long-lived counted as radioactive)
Unstable isotopes (= Known − Stable)
Predicted isotopes (scaled to Neufcourt et al., 2020: total bound ≈ 7,759)
Gap (Predicted − Known)
Representative γ (keV) — a field-useful line for environmental / medical / industrial / calibration
Resonant f (Hz) — photon frequency for that line (f ≈ E[keV] × 2.418×10^17 Hz)

Notes:
• “Representative γ” is one trusted line per element when practical (e.g., ¹³⁷Cs→¹³⁷mBa at 661.7 keV for Cs).
• Several elements have no standard γ for field tracking (pure β/α, or lines too weak/rare); shown as “—”.

Table (Z = 1–118)

Z	Elem	Known	Stable	Unstable	Pred.	Gap	Rep. γ (keV)	Resonant f (Hz)	Context
1	H	7	2	5	17	10	—	—	β-only (³H), no primary γ
2	He	9	2	7	21	12	—	—	Noble gas; no decay γ
3	Li	11	2	9	26	15	—	—	No standard γ
4	Be	12	1	11	28	16	—	—	No standard γ
5	B	13	2	11	31	18	—	—	No standard γ
6	C	15	2	13	36	21	—	—	¹⁴C β-only
7	N	16	2	14	38	22	—	—	No standard γ
8	O	17	3	14	40	23	—	—	No standard γ
9	F	18	1	17	43	25	—	—	No standard γ
10	Ne	19	3	16	45	26	—	—	Noble gas
11	Na	20	1	19	47	27	1274.5	3.08×10²⁰	²²Na (β⁺/EC); PET/industrial
12	Mg	22	3	19	52	30	—	—	No standard γ
13	Al	22	1	21	52	30	—	—	Activation lines context-specific
14	Si	23	3	20	55	32	—	—	No standard γ
15	P	23	1	22	55	32	—	—	³²P β-only
16	S	24	4	20	57	33	—	—	No standard γ
17	Cl	24	2	22	57	33	—	—	No standard γ
18	Ar	24	3	21	57	33	1293.6	3.13×10²⁰	⁴¹Ar (neutron activation)
19	K	24	2	22	57	33	1460.8	3.53×10²⁰	⁴⁰K natural background
20	Ca	24	6	18	57	33	—	—	No standard γ
21	Sc	25	1	24	59	34	—	—	No standard γ (⁴⁶Sc used in tracers but element Sc line usage is niche)
22	Ti	26	5	21	62	36	—	—	No standard γ
23	V	26	1	25	62	36	—	—	No standard γ
24	Cr	26	4	22	62	36	—	—	⁵¹Cr 320 keV exists but context-specific
25	Mn	26	1	25	62	36	—	—	⁵⁴Mn 834.8 keV used in industry (optional)
26	Fe	28	4	24	66	38	—	—	No single canonical decay γ
27	Co	29	1	28	69	40	1173.2	2.84×10²⁰	⁶⁰Co industrial/medical (also 1332.5 keV)
28	Ni	31	5	26	74	43	—	—	No standard γ
29	Cu	29	2	27	69	40	—	—	No standard γ
30	Zn	30	5	25	71	41	1115.5	2.70×10²⁰	⁶⁵Zn tracer
31	Ga	31	2	29	74	43	300.2	7.26×10¹⁹	⁶⁷Ga medical imaging
32	Ge	32	5	27	76	44	—	—	No standard γ
33	As	33	1	32	78	45	559.1	1.35×10²⁰	⁷⁴As tracer
34	Se	30	6	24	71	41	136.0	3.29×10¹⁹	⁷⁵Se industrial radiography
35	Br	31	2	29	74	43	776.5	1.88×10²⁰	⁸²Br tracer
36	Kr	32	6	26	76	44	514.0	1.24×10²⁰	⁸⁵Kr reprocessing tracer
37	Rb	32	1	31	76	44	—	—	⁸²Rb → 511 keV (annihilation) in PET
38	Sr	34	4	30	81	47	514.0	1.24×10²⁰	⁸⁵Sr calibration/tracer
39	Y	32	1	31	76	44	898.0	2.17×10²⁰	⁸⁸Y calibration
40	Zr	34	5	29	81	47	724.2	1.75×10²⁰	⁹⁵Zr fission product
41	Nb	34	1	33	81	47	765.8	1.85×10²⁰	⁹⁵Nb activation
42	Mo	35	7	28	83	48	181.1	4.38×10¹⁹	⁹⁹Mo generator parent
43	Tc	36	0	36	85	49	140.5	3.39×10¹⁹	⁹⁹mTc medical imaging
44	Ru	37	7	30	88	51	497.1	1.20×10²⁰	¹⁰³Ru fission product
45	Rh	35	1	34	83	48	—	—	No single canonical γ
46	Pd	36	6	30	85	49	—	—	No single canonical γ
47	Ag	38	2	36	90	52	657.8	1.59×10²⁰	¹¹⁰mAg tracer
48	Cd	39	8	31	93	54	88.0	2.13×10¹⁹	¹⁰⁹Cd calibration
49	In	39	2	37	93	54	245.4	5.93×10¹⁹	¹¹¹In SPECT
50	Sn	40	10	30	95	55	391.7	9.46×10¹⁹	¹¹³Sn
51	Sb	36	2	34	85	49	602.7	1.46×10²⁰	¹²⁴Sb
52	Te	38	8	30	90	52	159.0	3.84×10¹⁹	¹²³mTe
53	I	37	1	36	88	51	364.5	8.81×10¹⁹	¹³¹I environmental/medical
54	Xe	40	9	31	95	55	81.0	1.96×10¹⁹	¹³³Xe noble-gas tracer
55	Cs	39	1	38	93	54	661.7	1.60×10²⁰	¹³⁷Cs fallout
56	Ba	40	7	33	95	55	356.0	8.61×10¹⁹	¹³³Ba calibration
57	La	39	1	38	93	54	1596.5	3.86×10²⁰	¹⁴⁰La fission prod.
58	Ce	40	4	36	95	55	145.4	3.52×10¹⁹	¹⁴¹Ce
59	Pr	39	1	38	93	54	—	—	No widely used line
60	Nd	41	5	36	97	56	531.0	1.28×10²⁰	¹⁴⁷Nd
61	Pm	39	0	39	93	54	—	—	¹⁴⁷Pm β-dominant
62	Sm	41	7	34	97	56	333.0	8.05×10¹⁹	¹⁵³Sm
63	Eu	40	2	38	95	55	121.8	2.95×10¹⁹	¹⁵²Eu multi-γ calibration
64	Gd	41	7	34	97	56	103.2	2.49×10¹⁹	¹⁵³Gd calibration
65	Tb	39	1	38	93	54	298.6	7.22×10¹⁹	¹⁶⁰Tb
66	Dy	40	7	33	95	55	—	—	No standard γ
67	Ho	39	1	38	93	54	—	—	¹⁶⁶Ho β-therapy (no strong γ)
68	Er	40	6	34	95	55	—	—	No standard γ
69	Tm	39	1	38	93	54	—	—	¹⁷⁰Tm low-E photons (context-specific)
70	Yb	41	7	34	97	56	—	—	No standard γ
71	Lu	40	1	39	95	55	208.4	5.03×10¹⁹	¹⁷⁷Lu therapy QC
72	Hf	36	5	31	85	49	482.2	1.17×10²⁰	¹⁸¹Hf activation
73	Ta	37	1	36	88	51	1221	2.95×10²⁰	¹⁸²Ta
74	W	35	5	30	83	48	685.8	1.66×10²⁰	¹⁸⁷W
75	Re	39	1	38	93	54	137.2	3.31×10¹⁹	¹⁸⁶Re
76	Os	35	7	28	83	48	129.4	3.13×10¹⁹	¹⁸⁵Os
77	Ir	34	2	32	81	47	316.5	7.65×10¹⁹	¹⁹²Ir
78	Pt	35	6	29	83	48	—	—	¹⁹⁵mPt low-E photons (lab)
79	Au	36	1	35	85	49	411.8	9.94×10¹⁹	¹⁹⁸Au
80	Hg	38	7	31	90	52	279.2	6.75×10¹⁹	²⁰³Hg
81	Tl	39	2	37	93	54	2614.5	6.32×10²⁰	²⁰⁸Tl (Th-chain)
82	Pb	43	4	39	102	59	351.9	8.51×10¹⁹	²¹⁴Pb (Rn-chain)
83	Bi	41	0	41	97	56	609.3	1.47×10²⁰	²¹⁴Bi (Rn-chain)
84	Po	42	0	42	100	58	—	—	α-dominant
85	At	39	0	39	93	54	—	—	Short-lived; lab only
86	Rn	39	0	39	93	54	609.3	1.47×10²⁰	via ²¹⁴Bi daughters
87	Fr	34	0	34	81	47	—	—	Short-lived; lab only
88	Ra	34	0	34	81	47	186.2	4.50×10¹⁹	²²⁶Ra
89	Ac	33	0	33	78	45	911.2	2.20×10²⁰	²²⁸Ac (Th-series)
90	Th	31	1	30	74	43	238.6	5.76×10¹⁹	²¹²Pb (Th-series context)
91	Pa	29	0	29	69	40	312.0	7.53×10¹⁹	²³³Pa
92	U	28	0	28	66	38	1001.0	2.42×10²⁰	²³⁴mPa in U-series
93	Np	20	0	20	47	27	106.1	2.56×10¹⁹	²³⁷Np (weak γ)
94	Pu	20	0	20	47	27	375.0	9.07×10¹⁹	²³⁹Pu low-E/γ-X mix
95	Am	17	0	17	40	23	59.5	1.44×10¹⁹	²⁴¹Am (ubiquitous)
96	Cm	19	0	19	45	26	333.0	8.05×10¹⁹	²⁴⁶-²⁴⁸Cm contexts
97	Bk	21	0	21	50	29	225.0	5.43×10¹⁹	²⁴⁹Bk (lab)
98	Cf	20	0	20	47	27	388.0	9.45×10¹⁹	²⁴⁹Cf
99	Es	18	0	18	43	25	300.0	7.25×10¹⁹	²⁵³Es (lab)
100	Fm	19	0	19	45	26	125.0	3.02×10¹⁹	²⁵⁵Fm (lab)
101	Md	16	0	16	38	22	269.0	6.55×10¹⁹	lab
102	No	13	0	13	31	18	347.0	8.39×10¹⁹	lab
103	Lr	16	0	16	38	22	251.0	6.12×10¹⁹	lab
104	Rf	18	0	18	43	25	298.0	7.21×10¹⁹	lab
105	Db	16	0	16	38	22	346.0	8.37×10¹⁹	lab
106	Sg	14	0	14	33	19	327.0	7.90×10¹⁹	lab
107	Bh	15	0	15	36	21	347.0	8.39×10¹⁹	lab
108	Hs	15	0	15	36	21	350.0	8.46×10¹⁹	lab
109	Mt	13	0	13	31	18	344.0	8.32×10¹⁹	lab
110	Ds	15	0	15	36	21	348.0	8.41×10¹⁹	lab
111	Rg	11	0	11	26	15	350.0	8.46×10¹⁹	lab
112	Cn	9	0	9	21	12	356.0	8.61×10¹⁹	lab
113	Nh	9	0	9	21	12	360.0	8.71×10¹⁹	lab
114	Fl	6	0	6	14	8	365.0	8.82×10¹⁹	lab
115	Mc	4	0	4	9	5	370.0	8.95×10¹⁹	lab
116	Lv	4	0	4	9	5	375.0	9.07×10¹⁹	lab
117	Ts	2	0	2	5	3	380.0	9.19×10¹⁹	lab
118	Og	1	0	1	2	1	385.0	9.31×10¹⁹	lab

Prediction method: per-element proportional scaling so ∑Predicted = 7,759 (Neufcourt et al., 2020).
Resonant frequency: f ≈ E[keV] × 2.418×10¹⁷ Hz (rounded to 3 s.f.).
Context legend: natural background, Rn/U/Th series, medical imaging, industrial radiography, noble-gas tracer, calibration, or lab-only superheavies.