🔢 Cetane Index of Diesel Fuel

Petrochemistry PN-EN ISO 4264

In short

Calculation of the cetane index of middle-distillate fuels of petroleum origin from the density at 15 °C and the temperatures at which 10 %, 50 % and 90 % (V/V) of the distillate is recovered, using the four-variable equation. The test is performed according to PN-EN ISO 4264:2018-08; Input data: density at 15 °C (ISO 3675 or ISO 12185); T₁₀, T₅₀, T₉₀ (ISO 3405 or ISO 3924). The procedure comprises 5 steps; it is used for: Estimating the cetane number of middle-distillate fuels when a test engine is not available or there is insufficient sample for an engine rating (clause 1, note 3), Diesel fuel — requirement of the Polish regulation on quality requirements for liquid fuels: cetane index at least 46.0, alongside a cetane number of at least 51.0 (Dz.U. 2024 item 1018, Annex 3 No 1–2), Fuels containing non-petroleum derivatives from tar sands and oil shale (clause 1).

At a glance

  • Standard: PN-EN ISO 4264:2018-08
  • Category: Petrochemistry
  • Procedure steps: 5
  • Input data: density at 15 °C (ISO 3675 or ISO 12185); T₁₀, T₅₀, T₉₀ (ISO 3405 or ISO 3924)
  • Cetane number: most suitable range 32.5–56.5
  • Density at 15 °C: 805.0–895.0 kg/m³

Overview

STATUS (as of 30.10.2026). PN-EN ISO 4264:2018-08 — Polish and English versions, implements EN ISO 4264:2018 and ISO 4264:2018 [IDT]; the Polish version was published on 30.10.2020. It replaced PN-EN ISO 4264:2010 and its amendment A1:2013-07. ISO 4264:2018 is the third edition of the standard (published on 22.06.2018, it replaced ISO 4264:2007 and Amendment 1:2013), last confirmed by ISO on 18.10.2023.

SCOPE (clause 1). Calculation of the cetane index of middle-distillate fuels from petroleum-derived sources; the value is called the cetane index by four-variable equation. The standard covers fuels containing non-petroleum derivatives from tar sands and oil shale; it does not apply to pure hydrocarbons or to distillate fuels derived from coal. The calculation does not take into account the effect of additives used to enhance the cetane number. The cetane index is not an alternative way to express the cetane number but a supplementary tool, to be used with due regard for its limitations — it is used to estimate the cetane number when a test engine is not available or when there is insufficient sample for an engine rating.

PROPERTY RANGE AND PREDICTION ERROR (clause 1). Most suitable range of fuel properties: cetane number from 32.5 to 56.5; density at 15 °C from 805.0 to 895.0 kg/m³; 10 % (V/V) recovery temperature from 171 °C to 259 °C, 50 % (V/V) from 212 °C to 308 °C, 90 % (V/V) from 251 °C to 363 °C. Within the cetane number range from 32.5 to 56.5 the expected error of the prediction is less than ±2 cetane numbers for 65 % of the fuels examined; outside this range errors can be greater, and because of sample-specific biases also within it, so users assess the degree of prediction agreement they need. Sample-specific biases have been observed for distillate fuels containing FAME.

EDITION (foreword). The third edition added a statement on sample-specific bias, moved the second procedure — by nomography — into informative Annex A and admitted ISO 3924 (boiling range distribution by gas chromatography) as an alternative to ISO 3405.

INPUT DATA AND CALCULATION (clauses 5–7). The density at 15 °C is determined to the nearest 0.1 kg/m³ according to ISO 3675 or ISO 12185, with corrections according to ISO 91 if appropriate; the 10 %, 50 % and 90 % (V/V) recovery temperatures — to the nearest 1 °C, corrected to standard barometric pressure, according to ISO 3405 or according to ISO 3924 after converting its data to estimated ISO 3405 data. Index: CI = 45.2 + 0.089 2 · T₁₀N + (0.131 + 0.901 · B) · T₅₀N + (0.052 3 − 0.42 · B) · T₉₀N + 0.000 49 · (T₁₀N² − T₉₀N²) + 107 · B + 60 · B², where T₁₀N = T₁₀ − 215, T₅₀N = T₅₀ − 260, T₉₀N = T₉₀ − 310 (temperatures in °C), B = [exp(−0.003 5 · DN)] − 1, DN = D − 850, and D is the density at 15 °C in kg/m³. The index can also be read from nomographs (Annex A), but in case of dispute the calculation by the equation applies. The result is reported to the nearest 0.1.

PRECISION (clause 8). The calculation of the index from the measured density and recovery temperatures is exact; the precision of the index depends on the precision of the input determinations, given in ISO 3675, ISO 12185 and ISO 3405.

WHAT WE DO NOT GIVE HERE. The nomographs of informative Annex A (Figures A.1–A.3) — we only know the description of their use.

Method principle

The density at 15 °C and the temperatures at which 10 %, 50 % and 90 % (V/V) of the distillate is recovered are determined by standard test methods, and the cetane index is calculated from these data using known correlations — the four-variable equation.

The calculation from measured data is exact; the uncertainty of the result comes from the precision of the input determinations, and the agreement with the cetane number from the limitations of the correlation (fuel property range, sample-specific biases).

Applications

Key parameters

ParameterValue
Input datadensity at 15 °C (ISO 3675 or ISO 12185); T₁₀, T₅₀, T₉₀ (ISO 3405 or ISO 3924)
Cetane numbermost suitable range 32.5–56.5
Density at 15 °C805.0–895.0 kg/m³
Recovery temperaturesT₁₀ 171–259 °C; T₅₀ 212–308 °C; T₉₀ 251–363 °C
Expected errorless than ±2 cetane numbers for 65 % of the fuels examined (cetane number 32.5–56.5)
Resultto the nearest 0.1

Standard

Standard number
PN-EN ISO 4264:2018-08
Title (PL)
Przetwory naftowe — Obliczanie indeksu cetanowego paliw ze średnich destylatów metodą równania czterech zmiennych
Title (EN)
Petroleum products — Calculation of cetane index of middle-distillate fuels by the four variable equation

Step-by-step procedure

  1. Density at 15 °C

    According to ISO 3675 or ISO 12185, to the nearest 0.1 kg/m³, with corrections according to ISO 91 if appropriate (5.1).

  2. Recovery temperatures

    T₁₀, T₅₀ and T₉₀ to the nearest 1 °C, corrected to standard barometric pressure, according to ISO 3405 (5.2); alternatively ISO 3924 with its data converted to estimated ISO 3405 data (5.3–5.4).

  3. Calculation

    DN = D − 850; B = [exp(−0.003 5 · DN)] − 1; T₁₀N = T₁₀ − 215, T₅₀N = T₅₀ − 260, T₉₀N = T₉₀ − 310; CI according to Formula (1) of 6.1.

  4. Assessing the fitness of the prediction

    Comparison of the fuel data with the most suitable property range; outside it and with sample-specific biases (for example fuels containing FAME) the error can be greater (clause 1).

  5. Result

    Cetane index by four-variable equation to the nearest 0.1; in case of dispute the calculation of 6.1 applies, not the nomograph (6.2, clause 7).

Required equipment and apparatus

EquipmentExampleIndicative price
Apparatus for determining densityhydrometer according to ISO 3675 or oscillating U-tube density meter according to ISO 12185 — result to the nearest 0.1 kg/m³ (5.1)—
Distillation apparatusaccording to ISO 3405 or gas chromatograph according to ISO 3924 — recovery temperatures to the nearest 1 °C (5.2–5.4)—
Nomographs (alternative)Figures A.1–A.3 of informative Annex A; in case of dispute the equation applies (6.2)—

Health and safety (OHS)

Frequently asked questions

Which standard describes this test?

The test is performed according to PN-EN ISO 4264:2018-08 — “Petroleum products — Calculation of cetane index of middle-distillate fuels by the four variable equation”.

How does this method work?

The density at 15 °C and the temperatures at which 10 %, 50 % and 90 % (V/V) of the distillate is recovered are determined by standard test methods, and the cetane index is calculated from these data using known correlations — the four-variable equation. The calculation from measured data is exact; the uncertainty of the result comes from the precision of the input determinations, and the agreement with the cetane number from the limitations of the correlation (fuel property range, sample-specific biases).

What is the measuring range and accuracy?

Input data: density at 15 °C (ISO 3675 or ISO 12185); T₁₀, T₅₀, T₉₀ (ISO 3405 or ISO 3924); Cetane number: most suitable range 32.5–56.5; Density at 15 °C: 805.0–895.0 kg/m³; Recovery temperatures: T₁₀ 171–259 °C; T₅₀ 212–308 °C; T₉₀ 251–363 °C.

How long does the test take?

The procedure comprises 5 steps. The standard does not give a duration for every stage — the laboratory's own procedure decides.

What equipment is required?

Apparatus for determining density, Distillation apparatus, Nomographs (alternative).

Where is this test used?

Estimating the cetane number of middle-distillate fuels when a test engine is not available or there is insufficient sample for an engine rating (clause 1, note 3); Diesel fuel — requirement of the Polish regulation on quality requirements for liquid fuels: cetane index at least 46.0, alongside a cetane number of at least 51.0 (Dz.U. 2024 item 1018, Annex 3 No 1–2); Fuels containing non-petroleum derivatives from tar sands and oil shale (clause 1); Outside the scope: pure hydrocarbons and distillates derived from coal; the calculation does not take into account cetane-improving additives (clause 1).

What safety precautions apply?

Use of the standard can involve hazardous materials, operations and equipment — safety measures are established by the user (warning of the standard); The hazards come from the input determinations — density and distillation; precautions according to ISO 3675, ISO 12185, ISO 3405 or ISO 3924.

Which laboratory can perform this test?

The test is performed by laboratories accredited to ISO/IEC 17025. On LabCoda you can find them by the standard number PN-EN ISO 4264.

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