Scrape the crown surface clean with a stiff-bristled brush to remove any moss and debris.
Patch minor cracks using fire-rated silicone caulk.
Break apart deteriorated sections using a cold chisel and hammer.
Brush debris from the broken-up sections off the crown.
Spread an even layer of patching compound around the entire crown using a trowel. Make sure to maintain a slight slope to force water off the crown and away from the flue.
Fill in any space that remains between the crown and the flue or flashing with fire-rated silicone caulk.
Remove loose or crumbling mortar from the joints. Use a chisel and hammer to knock this mortar out of the joints to a depth of 1/2-inch. Remove mortar from vertical joints first, then follow with the horizontal joints.
Brush any remaining dirt and debris out of the joints with a stiff-bristled or wire brush.
Dampen the joints where the mortar will be placed.
Prepare mortar for the joints according to manufacturer directions. Make sure to use a type of mortar suitable for exterior applications. It may be necessary to mix a coloring additive into the mortar to match the existing mortar.
Pack mortar into the joints, beginning with the vertical joints. Strike the joint mortar flat.
Remove excess mortar or use a jointing tool to finish the joints once the mortar begins to harden.