Lu
Interactive Shell Diagram

Lutetium Bohr Model, Electron Shell Diagram

Visualize the exact electron shell distribution of Lutetium (Lu). Its 71 total electrons orbit the microscopic nucleus across 6 quantum energy shells in the specific mathematical pattern 2 – 8 – 18 – 32 – 9 – 2.

Atomic Number: Z = 71Symbol: LuShells: 6Shell Pattern: 2-8-18-32-9-2Valence e⁻: 3

Live Bohr Shell Diagram

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Shell Distribution:2 – 8 – 18 – 32 – 9 – 2

Lutetium Nuclear Composition

Protons, neutrons, and electrons at a glance

Protons

71

Positive charge carriers in the nucleus

Neutrons

104

Neutral mass carriers in the nucleus

Electrons

71

Across 6 shells: 2-8-18-32-9-2

Detailed Bohr Model Analysis

Lutetium's traditional Bohr model diagram provides a spectacular two-dimensional blueprint of its subatomic structure. By plotting its 71 negatively charged electrons rotating around a positively charged nucleus (containing 71 protons and approximately 104 neutrons), we can visually decrypt its chemical properties.

Across its 6 electron shells, Lutetium distributes its electrons in the following exact hierarchical sequence, from the innermost ring outward: 2 – 8 – 18 – 32 – 9 – 2.

Applying the Bohr Rules to Lutetium

The Bohr model, introduced by Niels Bohr in 1913, radically changed our understanding of atomic structure by proposing that electrons orbit the nucleus in strictly quantized circular energy levels (or 'shells'). For Lutetium, we apply the 2n² rule, which states that the maximum electron capacity of any given shell is determined by two times the shell number (n) squared.

In the case of Lutetium, its 71 total electrons stack outward from the nucleus. The innermost K-shell (n=1) holds 2 electrons. The L-shell (n=2) holds 8. This stacking continues geometrically until we map the entire 2 – 8 – 18 – 32 – 9 – 2 sequence. Because Lutetium is a high-mass transuranic or deep-period element, its inner shells are packed with immense density—holding up to 32 electrons in a single shell. This massive inner core creates a powerful electrostatic shield, severely shielding the outermost electrons from the nucleus and introducing complex relativistic contraction.

The Role of Lutetium's Valence Electrons

When analyzing the Bohr model of Lutetium, the absolute most critical ring is the outermost shell. This layer holds exactly 3 valence electrons.

In chemistry, the core electrons (the inner rings) are chemically inert. They do not participate in bonding. All chemical reactivity, covalent sharing, and ionic transfers are conducted exclusively by the valence electrons. Because Lutetium has 3 valence electrons, it inherently seeks to achieve a stable "octet" (a full outer shell of 8 electrons, or 2 for lightweight elements). Because it has fewer than 4 valence electrons, Lutetium generally behaves as an electron donor. It prefers to shed its outer electrons completely, dropping down to the beautifully stable full shell beneath it, typically forming an electropositive cation.

Bohr Shell Rules (Quick Reference)

  • 2n² Rule: Shell n holds a maximum of 2n² electrons.
  • Octet Rule: The outermost (valence) shell holds a max of 8 electrons for chemical stability.
  • Aufbau Order: Electrons fill from innermost shell outward.
  • Valence = Reactivity: The electrons in the last shell dictate how the element bonds.

Chemical & Physical Overview

The element Lutetium, represented universally by the chemical symbol Lu, holds the atomic number 71. This means that a standard neutral atom of Lutetium possesses exactly 71 protons within its dense nucleus, orbited precisely by 71 electrons. With a standard atomic weight of approximately 174.970 atomic mass units (u), Lutetium is classified fundamentally as a lanthanide.

From a periodic standpoint, Lutetium resides in Period 6 and Group 3 of the periodic table, placing it firmly within the d-block. The overarching category of an element—whether it behaves as an alkali metal, a halogen, a noble gas, or a transition metal—is determined exclusively by how these electrons fill the available quantum shells.

Diving deeper into its physical footprint, Lutetium exhibits a calculated atomic radius of 221 picometers (pm). When attempting to physically remove an electron from its outermost shell, it requires a primary ionization energy of 5.426 eV. Furthermore, its tendency to attract shared electrons in a covalent chemical bond—known as its electronegativity—measures at 1.27 on the Pauling scale. These specific subatomic metrics (radius, ionization, and electron affinity) combine to define exactly how Lutetium interacts, bonds, and reacts with every other chemical element in the observable universe.

Atomic Properties — Lutetium

Atomic Mass

174.97 u

Electronegativity

1.27 (Pauling)

Block / Group

D-block, Group 3

Period

Period 6

Atomic Radius

221 pm

Ionization Energy

5.426 eV

Electron Affinity

0.5 eV

Category

Lanthanide

Oxidation States

+3

Real-World Applications

PET Scanner Scintillators (LSO)Lu-177 Cancer TherapyCatalyst in Petroleum RefiningStable Lu Dopant in GarnetsPositron Emission Tomography

Real-World Applications & Industrial Uses

The distinct electronic structure of Lutetium directly empowers its functionality in the physical world. Its specific combination of atomic radius, electron affinity, and valence shell configuration makes it absolutely indispensable across modern industry, biological systems, and advanced technology.

Here are the primary real-world applications of Lutetium:

  • PET Scanner Scintillators (LSO): Its baseline chemical reactivity makes it specifically suited for this primary role.
  • Lu-177 Cancer Therapy: Used heavily in advanced manufacturing and chemical processing.
  • Catalyst in Petroleum Refining
  • Stable Lu Dopant in Garnets
  • Positron Emission Tomography

    Without the specific quantum mechanics occurring microscopically within Lutetium's electron cloud, these macroscopic technologies and biological processes would fundamentally fail to operate.

  • Did You Know?

    The last and hardest lanthanide. Lutetium oxyorthosilicate (LSO) scintillator crystals are used in PET scanners for cancer detection — they provide superior spatial resolution vs older materials. Lu-177 (lutetium-177) is a targeted radionuclide therapy agent approved for prostate cancer and neuroendocrine tumors.

    Shell-by-Shell Capacity Table

    How each of Lutetium's 6 shells compare to their theoretical maximum

    ShellSymbolElectrons (This Element)Max Capacity (2n²)Fill %
    1K (n=1)22
    100%
    2L (n=2)88
    100%
    3M (n=3)1818
    100%
    4N (n=4)3232
    100%
    5O (n=5)950
    18%
    6P (n=6)272
    3%

    Shell Comparison: Lutetium vs Neighbors

    ← Previous Element

    Yb

    Ytterbium

    Z=70

    2-8-18-32-8-2 shells

    View Bohr Model

    ⬤ Current

    Lu

    Lutetium

    Z=71

    2-8-18-32-9-2 shells

    Next Element →

    Hf

    Hafnium

    Z=72

    2-8-18-32-10-2 shells

    View Bohr Model

    Frequently Asked Questions — Lutetium Bohr Model

    Authoritative References

    The atomic and structural data for Lutetium provided on this page has been cross-referenced with primary chemical databases. For further primary-source research, consult the following global authorities:

    Bohr Models for All 118 Elements

    Toni Tuyishimire — Principal Software Engineer, Toni Tech Solution
    Technical AuthorFact CheckedLast Reviewed: April 2026

    Toni Tuyishimire

    Principal Software EngineerScience & EdTech Systems

    Toni is specialized in high-performance computational tools and complex STEM visualizations. Through Toni Tech Solution, he architects scientifically accurate, deterministic software systems designed to educate and empower global digital audiences.