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CNS Percentage and OTU: Tracking Oxygen Exposure

Learn how the CNS clock and OTU loading track oxygen exposure across a dive and a diving day, and what the limits mean.

Maximum operating depth answers “how deep”. It says nothing about how long. Oxygen exposure is tracked on two separate clocks, because acute nervous-system toxicity and cumulative lung irritation respond differently to partial pressure and time.

Calculate a complete diving day

Use the CNS & OTU Exposure Planner to add ordered constant-depth segments, surface intervals, and analyzed gas mixes. The guide below explains exactly what its two totals mean.

Two clocks, two injuries

  • CNS percentage tracks central nervous system oxygen toxicity. It is acute and dominated by partial pressure. Its worst outcome is a convulsion, which underwater can be fatal regardless of how healthy the diver is.
  • OTU, the oxygen tolerance unit, tracks pulmonary oxygen toxicity. It is cumulative and dominated by duration. Its outcome is lung irritation — burning on inhalation, coughing, reduced vital capacity — which is unpleasant and reversible rather than immediately dangerous.

A short exposure to a high partial pressure loads CNS heavily and OTU barely. A long exposure at a moderate partial pressure builds OTU steadily, but under the NOAA table it also uses CNS budget, and within one continuous exposure the CNS allowance usually runs out first. OTU becomes the binding limit across repeated dives and consecutive days: retained CNS falls during each surface interval, while the day's OTU total keeps growing and the multi-day allowance shrinks. They are separate budgets that bind in different situations, which is why serious planning carries both.

How the CNS clock works

Reference tables — most familiarly the NOAA oxygen exposure limits — give a maximum single-exposure duration for each oxygen partial pressure. Time spent at a given partial pressure is expressed as a percentage of that allowance, and the percentages from each part of the dive add up.

For one constant-depth segment, the planner uses:

Csegment=tT(PO2)×100%C_{\mathrm{segment}} = \frac{t}{T(P_{\mathrm{O}_2})} \times 100\%

Here, t is the segment duration in minutes and T(PPO₂) is the number of minutes representing 100% at that oxygen partial pressure. PPO₂ is absolute pressure in ATA and the oxygen input is a fraction, so 32% is used as 0.32. The result is a percentage of the table allowance, not a probability of toxicity.

The allowance falls steeply as partial pressure rises, and that steepness is the point. This is why the difference between a 1.4 and a 1.6 ATA ceiling is not a small one, and why 1.6 is generally treated as contingency rather than a working level. The mechanics of the ceiling itself are covered in PPO₂ safety limits.

NOAA CNS Oxygen Exposure Limits

Normal single-exposure planning limit at each PPO2, shown as 100% CNS. Values come from the NOAA Diving Manual, 6th edition; no calculator-specific substitute values are used.

PPO2 (ATA)100% allowance
1.645 min
1.5120 min
1.4150 min
1.3180 min
1.2210 min
1.1240 min
1.0300 min
0.9360 min
0.8450 min
0.7570 min
0.6720 min

The table is a planning convention, not a guaranteed toxicity threshold. It supplies exposure durations, not labels such as “working,” “recreational,” or “decompression.” Those operating choices come from the applicable training and procedure.

Exact table rows are used unchanged. Between rows, DiveCalc linearly interpolates the allowed duration from the two surrounding rows using the unrounded PPO₂. For example, 1.28 ATA lies 80% of the way from 1.2 ATA (210 minutes) to 1.3 ATA (180 minutes), so its allowance is 186 minutes. PPO₂ and percentage values are rounded only after the calculation for display.

Below 0.6 ATA, this NOAA table model assigns zero CNS because it has no lower row. Above 1.6 ATA, the planner rejects the segment; it never caps PPO₂ at 1.6 or extrapolates beyond the source table.

NOAA's 24-hour limits are a separate check

The NOAA table also gives a maximum total time at each PPO₂ in any 24 hours: 150 minutes at 1.6 ATA, 180 minutes at 1.5 and 1.4 ATA, 210 minutes at 1.3 ATA, 240 minutes at 1.2 ATA, and 270 minutes at 1.1 ATA. From 1.0 ATA down, the daily limit equals the single-exposure limit. The percentage clock in this guide and planner, like most dive computers, uses only the single-exposure rows with a surface recovery decay, which can allow more total daily time than NOAA's 24-hour column. For example, three 75-minute exposures at 1.4 ATA separated by four-hour surface intervals never take the clock above 60%, yet they add up to 225 minutes against NOAA's 180-minute daily limit. On long or repeated exposures at high PPO₂, add up the time at each level and compare it with the 24-hour limits as well.

Worked example: two 30 m EAN32 segments99 ft EAN32 segments

Inputs: each constant-depth segment lasts 25 minutes at 30 m99 ft on 32% oxygen. The segments are separated by 90 minutes on the surface. The sea-level pressure model uses 10 m per additional atmosphere33 ft per additional atmosphere.

PO2=0.32(3010+1)=1.28 ATAP_{\mathrm{O}_2} = 0.32 \left(\frac{30}{10} + 1\right) = 1.28\ \text{ATA}
PO2=0.32(9933+1)=1.28 ATAP_{\mathrm{O}_2} = 0.32 \left(\frac{99}{33} + 1\right) = 1.28\ \text{ATA}
C1=25186×100=13.440860%≈13.44%C_1 = \frac{25}{186} \times 100 = 13.440860\% \approx 13.44\%
Ckept=13.440860×2−9090=6.720430%C_{\mathrm{kept}} = 13.440860 \times 2^{-\frac{90}{90}} = 6.720430\%
Cday=6.720430+13.440860=20.161290%≈20.16%C_{\mathrm{day}} = 6.720430 + 13.440860 = 20.161290\% \approx 20.16\%

The raw PPO₂ is interpolated between the 1.2 and 1.3 ATA rows, giving a 186-minute allowance. The first segment contributes 13.44%. The 90-minute interval retains 6.72%, then the second segment brings the current total to 20.16%. Display values are rounded to two decimals only after the unrounded calculation.

Reaching 100% does not mean a convulsion occurs. It means you have spent the budget the tables allocate, and the underlying data on human CNS toxicity is limited and variable — susceptibility differs between divers and between days, and carbon dioxide retention, exertion, cold, and immersion all appear to matter. Prudent practice plans well below the limit rather than treating it as usable capacity.

What OTU tracks

OTU accumulates as a function of oxygen partial pressure and time, with exposure counting from roughly 0.5 ATA upward. Unlike CNS, the number grows steadily rather than steeply, so it is long dives and repeated days that build it rather than brief deep moments. Because it does not fall during an ordinary surface interval, it is the limit that tends to bind across a series of dives and days rather than within one dive.

Recreational single-day Nitrox diving rarely approaches pulmonary limits, and most recreational computers display CNS rather than OTU. OTU becomes a real constraint on extended exposures, on consecutive days of oxygen-rich diving, and in technical and decompression diving, where daily and multi-day allowances are planned explicitly.

Worked OTU example

For PPO₂ above 0.5 ATA, the NOAA/REPEX calculation is:

OTUsegment=t(PO2−0.50.5)5/6\mathrm{OTU}_{\mathrm{segment}} = t \left(\frac{P_{\mathrm{O}_2}-0.5}{0.5}\right)^{5/6}

The model assigns zero OTU at or below 0.5 ATA. For a 30-minute exposure at 1.4 ATA, substitution gives:

30(1.4−0.50.5)5/6=48.9608≈49 OTU30 \left(\frac{1.4-0.5}{0.5}\right)^{5/6} = 48.9608 \approx 49\ \mathrm{OTU}

At 1.0 ATA the factor is one, so 60 minutes contributes 60 OTU. The isolated-day reference is 850 OTU; multi-day limits can be lower.

Compare that with the CNS budget: the full 150-minute NOAA single-exposure allowance at 1.4 ATA, which is 100% CNS, adds only about 245 OTU. Within one continuous exposure the CNS budget runs out first. OTU becomes the binding limit when the exposures repeat, because CNS recovers between dives while the day’s OTU total keeps growing, and the daily allowance falls on consecutive days.

The REPEX procedures developed for NOAA habitat diving permit up to 850 OTU for one isolated exposure day, but the allowable daily average falls with repeated exposure toward about 300 OTU/day on long programs. These are reference limits, not default recreational targets; use the version specified by your training and operation.

Accumulating across a diving day

Neither measure resets on surfacing. CNS loading decays — a common planning approximation, introduced for an early dive-computer algorithm rather than measured physiologically, halves it roughly every 90 minutes on the surface — so a surface interval reduces accumulated exposure without clearing it. The planner's single-day OTU total stays unchanged during surface intervals and simply receives the next segment's OTU. It does not estimate pulmonary recovery or carry a REPEX schedule across multiple days.

For this planner, recovery is applied before the next segment:

Ckept=Cbefore×2−Δt/90C_{\mathrm{kept}} = C_{\mathrm{before}} \times 2^{-\Delta t/90}
Cafter=Ckept+CaddedC_{\mathrm{after}} = C_{\mathrm{kept}} + C_{\mathrm{added}}

CNS before is the unrounded accumulated percentage before the interval, Δt is the surface interval in minutes, CNS kept is what remains afterward, and CNS added is the next segment's contribution. The displayed remaining allowance is 100% minus CNS after, clamped at zero. Crossing 100% remains visible as an exceeded planning budget; it is not presented as a prediction that toxicity will occur at a particular percentage.

This runs in parallel with inert gas accumulation, on a completely separate schedule. A day of diving can be comfortable on nitrogen and tight on oxygen, or the reverse, and a rich mix improves one while worsening the other. That trade is the whole reason both get tracked; see surface intervals for the inert gas half.

Two oxygen clocks across one diving day

Schematic timeline over three dives: relative CNS loading rises quickly during dives and falls visibly during surface intervals, while relative OTU loading rises more gradually and stays flat between exposures in this single-day model. Neither exposure measure resets on surfacing.dive 1dive 2dive 3lowmediumhighrelative loading (schematic)CNS% — falls during surface intervalsOTU — held constant between exposuressurface reduces CNS; day OTU stays
The lines are schematic. Retained CNS falls during each surface interval; the single-day OTU total stays flat until the next oxygen exposure adds to it. Neither resets merely because the diver surfaced.

The CNS & OTU Exposure Planner shows PPO₂, CNS added, CNS retained after each interval, cumulative CNS, OTU added, and the running single-day OTU total without forcing those values into a wide table. Its selected 1.4 or 1.6 ATA PPO₂ check compares each segment with its maximum operating depth; it does not alter either exposure calculation at that segment's actual PPO₂. The planner models ordered, constant-depth segments. It does not model changing-depth profiles, workload, carbon dioxide retention, individual susceptibility, pulmonary recovery across days, or a dive computer's proprietary algorithm.

Planning against the limits

In practice: choose the leanest mix that meets the dive rather than the richest the depth permits, since the rich mix costs oxygen budget for decompression benefit you may not need. Set your computer to the analyzed mix so its tracking is real. Keep workload low, because carbon dioxide retention appears to raise CNS susceptibility. Add conservatism across consecutive diving days, and treat any oxygen-toxicity symptom as a reason to end the exposure rather than something to push through.

A commonly taught planning target is to keep a single dive below 80% CNS and the diving day below 100%, leaving margin for delays and individual variability. On long or repeated high-PPO₂ exposures, also check the total time at each PPO₂ against NOAA's 24-hour limits, and track the OTU total across consecutive days. Your agency, computer, or technical-diving procedure may specify a lower limit.

The mix decision is where most of the leverage sits — the best-mix guide covers why the richest theoretical mix is often not the right operational one. Use the MOD calculator to verify the measured mix's depth ceiling before tracking its exposure.

This is educational background for trained Nitrox divers. Published oxygen exposure limits vary by reference and by the type of diving, individual susceptibility varies, and the underlying human data is limited. Track exposure with a computer set to your analyzed mix and follow the limits and procedures taught by your training organization.

Sources

Always use current training materials and operational procedures for dive planning.

Published Updated

Frequently Asked Questions

What is the difference between CNS and OTU?
They track two different oxygen injuries. CNS percentage tracks central nervous system toxicity, the acute risk whose worst outcome is a convulsion underwater, and it is driven hard by high partial pressure. OTU tracks pulmonary oxygen toxicity, a cumulative irritation of the lungs that matters over long or repeated exposures.
What does a CNS percentage of 100% mean?
It means you have used the NOAA single-exposure allowance for that partial pressure, not that a convulsion happens at 101%. NOAA also publishes separate 24-hour total limits, which a percentage that decays between dives does not check. The figure is a planning budget derived from limited data, and most recreational and technical practice keeps well below it rather than treating it as a usable ceiling.
Do I need to track OTU on recreational dives?
Rarely. Single-day recreational Nitrox diving seldom approaches pulmonary limits, and computers usually surface CNS rather than OTU. OTU becomes the binding limit across repeated dives and consecutive days of oxygen-rich diving, and in technical or decompression diving, because CNS recovers between exposures while the OTU total does not.
Does a surface interval reset CNS or OTU?
Neither resets just because a diver surfaces. This guide's planning model halves retained CNS roughly every 90 minutes on the surface. Its single-day OTU total does not decay during ordinary surface intervals; pulmonary recovery and multi-day REPEX tracking require a separate model.
How does the planner handle a PPO2 between NOAA table rows?
It linearly interpolates the allowed duration from the two surrounding NOAA Diving Manual, 6th-edition rows using the unrounded PPO2. It rounds PPO2 and CNS percentage only for display. Below 0.6 ATA it assigns zero CNS under this table model; above 1.6 ATA it rejects the segment instead of capping or extrapolating it. It uses the single-exposure rows only and does not check NOAA's separate 24-hour total limits.

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