A-a Gradient Calculator

The A-a gradient is the difference between the oxygen level your alveoli calculate they should have, and the oxygen level your arterial blood actually has. A wide gap means oxygen isn't crossing from lung to blood the way it should.

Calculate Your A-a Gradient

%
21–100%, or enter as a fraction (0.21–1.00).
Enter a value between 21–100% or 0.21–1.00.
mmHg
760 at sea level; lower at altitude (min ~250).
Enter a value between 250 and 800.
mmHg
From an arterial blood gas. Normal ~35–45.
Enter a value between 10 and 150.
mmHg
From an arterial blood gas.
Enter a value between 20 and 650.
yrs
Used to estimate expected normal gradient.
Enter a value between 0 and 120.
A-a Gradient
9.7
mmHg
Normal
PAO₂
99.7 mmHg
Expected normal
≤ 14.0 mmHg

Why It Matters

Low blood oxygen has two very different root causes, and the A-a gradient is how you tell them apart. If someone is hypoxemic but their gradient is normal, the lungs themselves are transferring oxygen fine — the problem is they simply aren't moving enough air (hypoventilation, opioid overdose, high altitude). If the gradient is elevated, something is interfering with oxygen crossing into the blood — V/Q mismatch, a shunt, or a diffusion problem at the alveolar-capillary membrane.

How It's Calculated

Step 1 — Expected alveolar oxygen
PAO₂ = [FiO₂ × (Patm − PH₂O)] − (PaCO₂ ÷ 0.8)
Step 2 — Compare to actual arterial oxygen
A-a Gradient = PAO₂ − PaO₂

What each term means

TermMeaningTypical
FiO₂Fraction inspired O₂0.21 room air
PatmAtmospheric pressure760 mmHg sea level
PH₂OAirway water vapor47 mmHg constant
PaCO₂ / PaO₂From an ABGmeasured

What the Result Means

Normal

At or below expected for age. Gas exchange is working as expected.

Mild

Up to ~15 mmHg above expected — early/mild V/Q mismatch (early COPD, mild asthma, small PE).

Moderate

~15–30 mmHg above expected — more significant V/Q mismatch or an early shunt component.

Severe

More than 30 mmHg above expected — substantial shunt or severe V/Q mismatch (ARDS, severe pneumonia, large PE).

Worked Example

Given: room air, PaCO₂ 40 mmHg, PaO₂ 90 mmHg, sea level.

  1. PAO₂ = [0.21 × (760−47)] − (40÷0.8) = 149.7 − 50 = 99.7 mmHg
  2. Gradient = 99.7 − 90 = 9.7 mmHg
  3. Expected ~5–15 mmHg for a young adult — this is normal.

Four Reasons Gas Exchange Breaks Down

NORMAL
Free flow, alveoli & capillaries matched
V/Q MISMATCH
Ventilation and perfusion don't line up
SHUNT
Blood bypasses ventilated alveoli entirely
DIFFUSION DEFECT
Membrane itself is too thick to cross

Normal vs. Elevated: What It Points To

NORMAL

Hypoventilation

Lungs transfer oxygen fine — the patient simply isn't breathing enough. Opioid overdose, CNS depression, neuromuscular weakness, severe obesity, high altitude.

ELEVATED

V/Q mismatch

Some alveoli ventilated but poorly perfused, or vice versa. Most common cause — COPD, asthma, pulmonary embolism.

ELEVATED

Right-to-left shunt

Deoxygenated blood bypasses ventilated alveoli entirely — severe pneumonia, ARDS, structural cardiac shunts.

ELEVATED

Diffusion defect

Alveolar-capillary membrane thickened/damaged — pulmonary fibrosis, interstitial lung disease.

Gas Exchange at a Glance

Oxygen crosses from the alveolus into the capillary — the gap is what's left over.

ALVEOLAR AIR SAC PAO₂ respiratory membrane PULMONARY CAPILLARY PaO₂ O₂ ↑ CO₂ ↓

Frequently Asked Questions

What is the A-a gradient?

The difference between the oxygen level calculated in the alveoli and the oxygen level actually measured in arterial blood — it shows whether oxygen is failing to cross from lungs into bloodstream properly.

What is a normal A-a gradient?

Roughly 5–15 mmHg in a healthy young adult on room air, rising gradually with age. A common estimate is (age ÷ 4) + 4.

Why does it increase with age?

Small, normal changes in lung elasticity and V/Q matching accumulate over a lifetime, so an older adult's normal gradient is naturally wider.

Does supplemental oxygen affect it?

Yes — the gradient normally widens on higher FiO₂ even in healthy lungs, so it's most reliable on room air.

Can a normal gradient rule out a PE?

No. Elevated in ~85% of PE cases, but ~15% of patients — especially younger patients with a small PE — have a normal gradient. Never use a normal result alone to exclude PE.

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