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A diamond knife uses a sharpened diamond edge to cut ultrathin sections in ultramicrotomy. The edge's geometry and condition affect the force applied to the specimen and the resulting section. JEOL describes its use for hard inorganic materials and for obtaining uniform sections from resin specimens.^[ref]

The knife wedge angle is the angle between the blade faces. It differs from the knife clearance angle, which concerns how the blade is oriented relative to the freshly cut surface. Manufacturer descriptions include $35^{\circ }$ and $45^{\circ }$ knife families, with the lower-angle design promoted for reduced section compression and a higher-angle design discussed for hard materials.^[ref]

For an original ideal symmetric wedge of included angle $\beta$, the blade width a distance $h$ behind the apex isAt $h=1\mu \mathrm{m}$, this gives $w\simeq 0.631\mu \mathrm{m}$ for $\beta =35^{\circ }$ and $w\simeq 0.828\mu \mathrm{m}$ for $\beta =45^{\circ }$. The wider ideal wedge has about 31% more material behind the edge at that distance. This illustrates a geometry tradeoff; it does not predict a 31% difference in cutting force or assert the exact profile of a commercial knife.

A useful materials experiment compares otherwise matched cuts while recording knife orientation, feed and specimen condition, then measures section dimensions and surface defects. A cut stripe that repeats at the same lateral position suggests an edge-related artifact worth checking. Diamond hardness alone does not guarantee an undamaged edge or an undistorted section.

DiATOME makes diamond knives for ultramicrotomy. The manufacturer's materials-oriented descriptions illustrate why knife geometry is part of an imaging measurement: a suitable edge must cut a thin section without introducing unacceptable distortion or damage. Its listed 35° and 45° knife families distinguish a knife wedge angle from such separate quantities as cutting feed and knife clearance angle.^[ref]

For an original ideal geometry, suppose two otherwise identical symmetric wedges have included angles 35° and 45°. At a fixed distance behind the tip, their widths are proportional to $\tan (\beta /2)$. The 35° wedge therefore has about 24% less width there than the 45° wedge. This is a geometric comparison, not a corresponding percentage prediction for force, wear or performance of an actual knife.

A second diagnostic concerns section compression. Suppose a marked polymer interval initially measures $10\mu \mathrm{m}$ in the cutting direction. If two stipulated preparations yield intervals of 8.5 and 9.5 micrometres, their shortening fractions are 15% and 5%, respectively. A lower shortening fraction supports better preservation of that interval under the stated test, but the data alone do not identify whether angle, edge condition or another preparation variable caused the difference.

A controlled materials comparison therefore records knife geometry, specimen, feed, orientation and the measured section dimensions. The manufacturer's product descriptions are primary evidence for the equipment's stated purpose and configurations; they are not independent measurements of the chosen examples above.

The knife wedge angle $\beta$ is the included angle between the blade faces meeting at a cutting edge. It is a property of the edge geometry, distinct from the knife clearance angle produced by orienting the knife relative to the specimen. A final bevel can have a different angle from the broader blade body, so identify which faces define a quoted angle.^[ref]

In ultramicrotomy, the wedge angle affects the tradeoff between reducing section compression and supporting a durable edge. Manufacturer descriptions distinguish $35^{\circ }$ and $45^{\circ }$ diamond knives; the lower-angle family is described as reducing compression. Guidance for polymer and brittle-material sectioning also emphasizes that lower angles leave a more sensitive edge and that some hard materials favor a larger angle.^[ref][ref]

An original geometric comparison makes the difference concrete without pretending to predict cutting forces. On each face of an ideal wedge, mark a point a distance $s$ from the apex. The distance $d$ between those points is the base of an isosceles triangle:For $s=1\mu \mathrm{m}$, this gives $d\approx 0.601\mu \mathrm{m}$ at $35^{\circ }$ and $d\approx 0.765\mu \mathrm{m}$ at $45^{\circ }$. The larger angle puts more material between the faces at that distance from the apex. This geometry is not an empirical law relating wedge angle to force, friction or a particular compression percentage.

Changing knife clearance angle rotates both blade faces together and leaves their included angle unchanged. Conversely, selecting a different wedge geometry need not mean that the same holder setting gives the same cutting conditions. A meaningful comparison records both angles, specimen material, feed and observed section compression. The two angle names should therefore remain separate even when an instrument discussion informally calls either one the knife angle.