RONCHIGRAM

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Ronchigram

π/4 Phase Limit

e^- Beam Energy = keV ⇒ Wavelength = pm

○ Objective Aperture Semiangle = mrad

Diffraction Limited Resolution = pm

○ Optimal Aperture Semiangle = mrad

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χ(α,Φ) = Σ_n,m[ C_n,m αⁿ⁺¹cos(m(Φ-Φ_n,m))/(n+1) ]

Aberration

Symbol

(Haider)

Symbol

(Krivanek)

Defocus

C₁

C₁₀: Å

2-Fold Astigmatism

A₁

C₁₂: nm Φ₁₂: °

Axial Coma

B₂

C₂₁: nm Φ₂₁: °

3-Fold Astigmatism

A₂

C₂₃: nm Φ₂₃: °

3rd Order Spherical

C₃

C₃₀: nm

3rd Order Axial Star

S₃

C₃₂: nm Φ₃₂: °

4-Fold Astigmatism

A₃

C₃₄: nm Φ₃₄: °

4th Order Axial Coma

B₄

C₄₁: μm Φ₄₁: °

3-Lobe Aberration

D₄

C₄₃: μm Φ₄₃: °

5-fold Astigmatism

A₄

C₄₅: μm Φ₄₅: °

5th Order Spherical

C₅

C₅₀: mm

5th Order Axial Star

S₅

C₅₂: mm Φ₅₂: °

5th Order Rosette

R₅

C₅₄: mm Φ₅₄: °

6-fold Astigmatism

A₅

C₅₆: mm Φ₅₆: °

Display Size (pixels)= Display Size (mrad) =