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Atomic Mass Calculator

Atomic Mass Calculator

Calculate atomic mass from protons and neutrons using the atomic mass formula

Calculate Atomic Mass

Atomic number (1-118)

Number of neutrons (0-177)

Atomic Mass Results

12
Atomic Mass (u)
12
Mass Number (A)
1.000
N/P Ratio

Mass Breakdown

Protons: 6 × 1 u = 6 u
Neutrons: 6 × 1 u = 6 u
Electrons: 6 × 0.00055 u = 0.00329 u
Nuclear mass: 12 u
Total with electrons: 12.00329 u
*Simplified calculation, doesn't include binding energy

Nuclear Stability Assessment

Likely stable nucleus

Unit Conversions

12
u
12
amu
12
Da
1.993e-26
kg
0.000
g
0.000
mg

Atomic Mass Formula

Basic Formula: A = Z + N
Where: A = Mass number, Z = Protons, N = Neutrons
Note: This simplified calculation doesn't account for binding energy loss

Example: Carbon-12 Atomic Mass

Given Information

Element: Carbon-12 (most common carbon isotope)

Protons (Z): 6 (atomic number of carbon)

Neutrons (N): 6 (12 - 6 = 6)

Calculation

Atomic Mass = Z + N

Atomic Mass = 6 + 6

Atomic Mass = 12 u

This matches the definition: 1 u = 1/12 mass of carbon-12

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Atomic Mass Units

u / amu / Da
Standard atomic mass unit
1 u = 1.66 × 10⁻²⁷ kg
Definition
1/12 mass of carbon-12 atom
International standard
Electron Mass
≈ 0.00055 u
1836 times lighter than proton

Nuclear Stability

Light Elements (Z ≤ 20)
N/P ratio ≈ 1.0
Equal protons and neutrons
Heavy Elements (20 < Z ≤ 83)
N/P ratio: 1.2-1.6
More neutrons needed
Super Heavy (Z > 83)
All radioactive
Undergo decay processes

Quick Tips

Atomic mass ≈ protons + neutrons

Electrons contribute negligible mass

Mass number = atomic mass (rounded)

Binding energy causes small mass defect

Isotopes have same Z, different N

Understanding Atomic Mass

What is Atomic Mass?

Atomic mass is the total mass of an atom, including protons, neutrons, and electrons. However, since electrons are 1,836 times lighter than protons, they contribute negligibly to the total mass.

Key Components:

  • Protons: ~1 u each, positive charge
  • Neutrons: ~1 u each, no charge
  • Electrons: ~0.00055 u each, negative charge
  • Binding Energy: Slight mass loss (not included in this calculator)

Atomic Mass vs Mass Number

Atomic Mass

Actual mass of the atom in atomic mass units, including binding energy effects.

Mass Number (A)

Total number of protons and neutrons (always a whole number).

Why Do Atoms Need Neutrons?

Electrostatic Repulsion

Protons repel each other due to positive charge. This force tries to break the nucleus apart.

Strong Nuclear Force

Neutrons provide additional attractive force between nucleons, helping hold the nucleus together.

Nuclear Stability

The right neutron-to-proton ratio creates a stable nucleus that doesn't decay.

Real-World Applications

Nuclear Medicine

Isotopes with specific atomic masses are used for:

  • • Medical imaging (Technetium-99m)
  • • Cancer treatment (Iodine-131)
  • • Radiocarbon dating (Carbon-14)
  • • Nuclear power (Uranium-235)

Mass Spectrometry

Precise atomic mass measurements help:

  • • Identify unknown compounds
  • • Determine molecular structures
  • • Measure isotopic abundances
  • • Quality control in pharmaceuticals
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