Physical

How do you calculate hPLC method transfer?

Scale flow, injection, and gradient between columns, with void volume and dead time. The relationship used is F₂ = F₁(d₂/d₁)²(dp₁/dp₂).

Worked example

Every number below is computed by the calculator, not typed in

What you are given

  • Old i.d. (mm): 4.6
  • Old length (mm): 150
  • Old particle (µm): 5
  • Old flow (mL/min): 1.0
  • Old injection (µL): 20
  • Old gradient (min, optional): 30
  • New i.d. (mm): 2.1
  • New length (mm): 50
  • New particle (µm): 1.8

Formula: F₂ = F₁(d₂/d₁)²(dp₁/dp₂)

The working

  1. Flow: F₁ (d₂/d₁)² (dp₁/dp₂) = 0.579 mL/min
  2. Injection: Vi₁ (d₂²L₂)/(d₁²L₁) = 1.389 µL
  3. Gradient time: tg₁ (F₁/F₂)(V₂/V₁) = 3.6 min

New method: 0.579 mL/min, 1.389 µL inj, 3.6 min gradient

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