Alright Ron—starting at the origin and moving in clean, explicit batches.For each isotope I give: notation (with superscript), stability, half-life, dominant decay, type (stable / primordial / cosmogenic / synthetic / unbound resonance), and notable uses (if any).

I’ll proceed element-by-element (no ranges, no ellipses), beginning with Hydrogen → Helium → Lithium.

Hydrogen (Z = 1, A = 1–7)

¹H — Stable · (no decay) · Type: stable (primordial) · Uses: the workhorse nucleus for ¹H-NMR in structure elucidation; ubiquitous probe of proton environments in organic and biochemical systems. (Wikipedia, Chemistry LibreTexts)
²H — Stable · (no decay) · Type: stable (primordial) · Uses: heavy water (D₂O) reactor moderator, tracer in physiology and hydrology, ²H-NMR, deuterated solvents for NMR. (Wikipedia)
³H — Unstable · t½ ≈ 12.32 y · β⁻ → ³He · Type: cosmogenic & synthetic radioisotope · Uses: fusion (D–T) fuel R&D, radioluminescent lighting, betavoltaic power (µW-scale), radiotracer in chemistry/biomed. (The Department of Energy’s Energy.gov, NASA Technical Reports Server, ResearchGate, Wikipedia)
⁴H — Unstable · t½ ≈ 1×10⁻²² s (yoctoseconds) · n emission → ³H · Type: synthetic, unbound resonance · Uses: none (research only). (Wikipedia)
⁵H — Unstable · t½ ~ (0.9–1)×10⁻²¹ s · 2n emission → ³H · Type: synthetic, unbound resonance · Uses: none (research only). (Wikipedia, ChemEurope)
⁶H — Unstable · t½ ~ 10⁻²¹–10⁻²² s (very short; resonance) · multi-n emission → ³H · Type: synthetic, unbound resonance · Uses: none (research only). (Wikipedia)
⁷H — Unstable · t½ ~ 5×10⁻²¹ s (narrow resonance) · 4n emission → ³H · Type: synthetic, unbound resonance (extreme N/Z) · Uses: none (research only). (ScienceDirect, europhysicsnews.org)

Hydrogen — isotope counts: 7 total · Stable: 2 · Unstable: 5.
(Data and half-lives: IAEA/ENSDF LiveChart, NUBASE summaries, and recent reviews; application notes from DOE and literature cited above.) (www-nds.iaea.org, IAEA)

Helium (Z = 2, A = 2–10)

²He — Unstable (diproton) · τ ~ 10⁻²² s (unbound) · p emission → ¹H + ¹H · Type: synthetic, unbound resonance · Uses: none. (Wikipedia)
³He — Stable · (no decay) · Type: stable (primordial) · Uses: neutron-detection proportional counters, cryogenics/dilution refrigeration, hyperpolarized-gas MRI of lungs. (ScienceDirect, FAS Project on Government Secrecy, PMC)
⁴He — Stable · (no decay) · Type: stable (primordial) · Uses: cryogenic coolant (LHe); inert carrier gas; metrology. (General helium applications; isotope-specific “superfluid” at ⁴He.) (Wikipedia)
⁵He — Unstable · t½ ≈ 7.6×10⁻²² s · n emission → ⁴He · Type: synthetic, unbound resonance · Uses: none (research). (ChemEurope)
⁶He — Unstable · t½ = 806.9 ms · β⁻ → ⁶Li (β-delayed n possible) · Type: synthetic radioisotope (halo nucleus) · Uses: calibration/benchmark in few-body nuclear physics. (Wikipedia)
⁷He — Unstable · τ ~ 10⁻²¹ s (resonance) · n emission → ⁶He (and γ) · Type: synthetic, unbound resonance · Uses: none (research). (ChemEurope)
⁸He — Unstable · t½ ≈ 119 ms · β⁻ → ⁸Li (β-delayed n) · Type: synthetic radioisotope (neutron-halo) · Uses: nuclear-structure benchmarks, exotic-beam target. (Wikipedia)
⁹He — Unstable (resonance) · τ ~ 10⁻²² s · n emission → ⁸He · Type: synthetic, unbound resonance · Uses: none (research). (Wikipedia)
¹⁰He — Unstable · t½ ≈ 2.6×10⁻²² s · 2n emission → ⁸He (or ⁹He + n) · Type: synthetic, unbound resonance · Uses: none (research). (Wikipedia, Periodic Table)

Helium — isotope counts: 9 total · Stable: 2 · Unstable: 7.
(Half-lives and identities per IAEA/ENSDF and standard isotope reviews; applications per neutron-detection literature and HP-³He MRI.) (www-nds.iaea.org, IAEA)

Lithium (Z = 3, A = 3–13)

Note: ³Li remains unconfirmed (proton-unbound report not accepted); others below are established. I flag ³Li explicitly for completeness. (Wikipedia)

³Li — Existence unconfirmed (expected unbound) · no accepted t½ · p emission → ²He · Type: predicted, not in NUBASE-confirmed set · Uses: none. (Wikipedia)
⁴Li — Unstable · t½ ≈ 9.1×10⁻²³ s · p emission → ³He · Type: synthetic, unbound resonance · Uses: none. (Wikipedia)
⁵Li — Unstable · t½ ≈ 3.7×10⁻²² s · p emission → ⁴He · Type: synthetic, unbound resonance · Uses: appears as a transient intermediate in D–³He fusion studies. (Wikipedia)
⁶Li — Stable · (no decay) · Type: stable (primordial) · Uses: tritium breeding via n + ⁶Li → ⁴He + ³H (fusion blankets); neutron-converter layers; Li-NMR. (The Department of Energy’s Energy.gov, Wikipedia, epj-conferences.org)
⁷Li — Stable · (no decay) · Type: stable (primordial) · Uses: PWR coolant chemistry control (LiOH, high-purity ⁷Li to suppress tritium formation), molten-salt coolants (FLiBe). (World Nuclear Association, nrl.mit.edu)
⁸Li — Unstable · t½ = 838.7 ms · β⁻ → ⁸Be* (→ 2α) · Type: synthetic radioisotope · Uses: proposed \u03bd̄ₑ source for sterile-neutrino/short-baseline experiments. (Wikipedia)
⁹Li — Unstable · t½ = 178.2 ms · β⁻ (β-delayed n) → ⁹Be/⁸Be · Type: synthetic radioisotope · Uses: nuclear-structure and β-delayed-neutron studies. (Wikipedia)
¹⁰Li — Unstable (unbound) · τ < 10⁻⁸ s (resonance) · n emission → ⁹Li · Type: synthetic, unbound resonance · Uses: none (research). (Wikipedia)
¹¹Li — Unstable · t½ ≈ 8.75 ms · β⁻ (β-delayed n) → ¹¹Be/¹⁰Be/⁹Be · Type: halo nucleus (Borromean) · Uses: flagship halo-structure benchmark; reaction-mechanism tests. (Wikipedia)
¹²Li — Unstable (unbound) · τ < 10⁻⁸ s · n emission → ¹¹Li · Type: synthetic, unbound resonance · Uses: none (research). (Wikipedia)
¹³Li — Unstable (very short-lived) · τ < 10⁻⁸ s · multi-n emission · Type: synthetic, unbound resonance · Uses: none (research). (Wikipedia)

Lithium — isotope counts (observed/established): ≤ 10 confirmed (⁴Li–¹²Li, with ³Li unconfirmed) · Stable: 2 (⁶Li, ⁷Li) · Unstable: remainder. (Wikipedia)

If this is the cadence and depth you want, I’ll keep marching—Beryllium (Z=4) through Neon (Z=10) next, in the same explicit style (every isotope, stability, half-life, decay, type, and real-world use).