A pillar-shaped honeycomb structure filter including a plurality of first cells and a plurality of second cells, the first cells and the second cells being alternately arranged adjacent to each other with a porous partition wall interposed therebetween, wherein a ceramic porous film, in which an average film thickness T (unit: μm) is 2 to 50 μm, a porosity P (unit: %) is 65 to 90%, and the average film thickness T and the porosity P satisfy a relational expression of 0.36T+60≤P≤0.75T+72, is formed on a surface of each of the first cells.

A ceramic filter having a pillar-shaped honeycomb structure, wherein when observing a plurality of pores from a surface of partition walls with a laser microscope and plotting an equivalent circle diameter (μm) of each pore on an X-axis and a pore depth (μm) of each pore on a Y-axis on a two-dimensional coordinate system, a slope of a regression line (y/x) obtained by a least squares method in a range of 20≤x≤40 is 0 to 0.20, an average value of the pore depth of the plurality of pores is 2.5 μm to 5.0 μm, and a number density of the plurality of pores is 600/mm.sup.2 to 2450/mm.sup.2.

A honeycomb structure comprising a pillar-shaped honeycomb structure body having a porous partition wall disposed so as to surround a plurality of cells, wherein let that A denotes an absolute value of open frontal area (%) in a plane of the honeycomb structure body orthogonal to the extending direction of the cells and P denotes an absolute value of porosity (%) of the partition wall, the honeycomb structure has a value represented by the following expression (1) that is 0.05 to 0.12, let that D denotes an average pore diameter (m) of the partition wall and G denotes a geometric surface area (mm.sup.2/mm.sup.3) of the partition wall, the honeycomb structure has a value represented by the following expression (2) that is 8 to 50 (μm×mm.sup.2/mm.sup.3), and the honeycomb structure has a hydraulic diameter of the cells that is 1.1 mm or more,

(1−A/100)×(1−P/100),  Expression (1)

D×G.  Expression (2)

Methods for applying a surface treatment to a plugged honeycomb body comprising porous wall includes: atomizing particles of an inorganic material into liquid-particulate-binder droplets comprised of an aqueous vehicle, a binder material, and the particles, evaporating substantially all of the aqueous vehicle from the droplets to form agglomerates comprised of the particles and the binder material, and depositing the agglomerates onto the porous walls of the plugged honeycomb body, wherein the agglomerates are disposed on, or in, or both on and in, the porous walls. Plugged honeycomb bodies comprising porous walls and inorganic material deposited thereon are also disclosed.

A method for applying a surface treatment to a plugged honeycomb body comprising porous wall includes: mixing particles of an inorganic material with a liquid vehicle and a binder material to form a liquid-particulate-binder stream; mixing the liquid-particulate-binder stream with an atomizing gas, directing the liquid-particulate-binder stream into an atomizing nozzle thereby atomizing the particles into liquid-particulate-binder droplets comprised of the liquid vehicle, he binder material, and the particles; conveying the droplets toward the plugged honeycomb body by a gaseous carrier stream, wherein the gaseous carrier stream comprises a carrier gas and the atomizing gas; evaporating substantially all of the liquid vehicle from the droplets to form agglomerates comprised of the particles and the binder material; depositing the agglomerates onto the porous walls of the plugged honeycomb body; wherein the deposited agglomerates are disposed on, or in, or both on and in, the porous walls.

There are provided an air filter medium, a filter pack, and an air filter unit in which the decrease in collection efficiency can be suppressed. The air filter medium includes a fluororesin. The PAO permeability ratio (final permeability/initial permeability) is less than 3.0. The initial permeability is a permeability of polyalphaolefin particles when air containing the polyalphaolefin particles having a number median diameter of 0.25 μm is passed through the air filter medium at a flow velocity of 5.3 cm/s. The final permeability is a permeability of polyalphaolefin particles when air containing the polyalphaolefin particles having a number median diameter of 0.25 μm is continuously passed through the air filter medium at a flow velocity of 5.3 cm/s and the pressure loss is increased by 250 Pa.

A manufacturing method of a honeycomb filter includes a kneaded material preparation process, a forming process, and a firing process, wherein the cordierite forming raw material contains porous silica as an inorganic pore former, in a cumulative particle size distribution of the cordierite forming raw material, particle diameters (μm) of 10% by volume, 50% by volume, and 90% by volume of the total volume from a small diameter side, are denoted by D.sub.(a) 10, D.sub.(a) 50 and D.sub.(a) 90, respectively, and a particle diameter (μm) of 50% by volume of the total volume from the small diameter side is denoted by D.sub.(b) 50 in a cumulative particle size distribution of the organic pore former, and the cordierite forming raw material and the organic pore former satisfy given expressions.

A manufacturing method of a honeycomb filter includes a kneaded material preparation process, a forming process and a firing process, wherein the cordierite forming raw material contains at least one of porous silica and fused silica, particle diameters (μm) of 10% by volume, 50% by volume and 90% by volume, from a small diameter side, are denoted by D.sub.(a) 10, D.sub.(a) 50 and D.sub.(a) 90 in a cumulative particle size distribution of the cordierite forming raw material, and a particle diameter (μm) of 50% by volume from a small diameter side is denoted by D.sub.(b) 50 in a cumulative particle size distribution of the organic pore former, D.sub.(b) 50 is 40 μm or less, and a cordierite forming raw material and an organic pore former satisfy given expressions.

A honeycomb filter includes a pillar-shaped honeycomb structure body having a porous partition wall disposed to surround a plurality of cells and a plugging portion, wherein the partition wall is composed of a material containing cordierite as a main component thereof, porosity of the partition wall measured by a mercury press-in method is 60 to 68%, an average pore diameter of the partition wall measured by a mercury press-in method is 8 to 12 and in a pore diameter distribution which indicates a cumulative pore volume of the partition wall measured by a mercury press-in method, with a pore diameter (μm) on an abscissa axis and a log differential pore volume (cm.sup.3/g) on an ordinate axis, a first peak that includes a maximum value of the log differential pore volume has a pore diameter value of 10 μm or less, the pore diameter value corresponding to a ⅓ value width of the maximum value.

A honeycomb filter includes a pillar-shaped honeycomb structure body having a porous partition wall disposed to surround a plurality of cells and a plugging portion, wherein the partition wall is composed of a material containing cordierite as a main component thereof, porosity of the partition wall measured by a mercury press-in method is 60 to 68%, an average pore diameter of the partition wall measured by a mercury press-in method is 13 to 18 μm, and in a pore diameter distribution indicating a cumulative pore volume of the partition wall measured by a mercury press-in method, with a pore diameter (μm) on an abscissa axis and a log differential pore volume (cm.sup.3/g) on an ordinate axis, a first peak including a maximum value of the log differential pore volume has a pore diameter value of 15 μm or less, the pore diameter value corresponding to a ⅓ value width of the maximum value.