List of Tables
Table 1. Global Silicon-Infiltrated Silicon Carbide Market Value by Type (US$ Million), 2025 vs 2032
Table 2. Global Silicon-Infiltrated Silicon Carbide Market Value by Performance (US$ Million), 2025 vs 2032
Table 3. Global Silicon-Infiltrated Silicon Carbide Market Value by Hole (US$ Million), 2025 vs 2032
Table 4. Global Silicon-Infiltrated Silicon Carbide Market Value by Application (US$ Million), 2025 vs 2032
Table 5. Global Silicon-Infiltrated Silicon Carbide Production Capacity (Kilotons) by Manufacturers in 2025
Table 6. Global Silicon-Infiltrated Silicon Carbide Production by Manufacturers (Kilotons), 2021–2026
Table 7. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Manufacturers (2021–2026)
Table 8. Global Silicon-Infiltrated Silicon Carbide Production Value by Manufacturers (US$ Million), 2021–2026
Table 9. Global Silicon-Infiltrated Silicon Carbide Production Value Share by Manufacturers (2021–2026)
Table 10. Global Key Players of Silicon-Infiltrated Silicon Carbide, Industry Ranking, 2024 vs 2025
Table 11. Classification of Companies by Tier (Tier 1, Tier 2, Tier 3), based on Silicon-Infiltrated Silicon Carbide Production Value, 2025
Table 12. Global Market Silicon-Infiltrated Silicon Carbide Average Price by Manufacturers (US$/Ton), 2021–2026
Table 13. Global Key Manufacturers of Silicon-Infiltrated Silicon Carbide, Manufacturing Footprints and Headquarters
Table 14. Global Key Manufacturers of Silicon-Infiltrated Silicon Carbide, Product Offerings and Applications
Table 15. Global Key Manufacturers of Silicon-Infiltrated Silicon Carbide, Date of Entry into the Industry
Table 16. Global Silicon-Infiltrated Silicon Carbide Manufacturers Market Concentration Ratio (CR5 and HHI)
Table 17. Mergers & Acquisitions and Expansion Plans
Table 18. Global Silicon-Infiltrated Silicon Carbide Production Value by Region: 2021 vs 2025 vs 2032 (US$ Million)
Table 19. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) by Region (2021–2026)
Table 20. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Region (2021–2026)
Table 21. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) Forecast by Region (2027–2032)
Table 22. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share Forecast by Region (2027–2032)
Table 23. Global Silicon-Infiltrated Silicon Carbide Production Comparison by Region: 2021 vs 2025 vs 2032 (Kilotons)
Table 24. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) by Region (2021–2026)
Table 25. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Region (2021–2026)
Table 26. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) Forecast by Region (2027–2032)
Table 27. Global Silicon-Infiltrated Silicon Carbide Production Market Share Forecast by Region (2027–2032)
Table 28. Global Silicon-Infiltrated Silicon Carbide Market Average Price (US$/Ton) by Region (2021–2026)
Table 29. Global Silicon-Infiltrated Silicon Carbide Market Average Price (US$/Ton) by Region (2027–2032)
Table 30. Global Silicon-Infiltrated Silicon Carbide Consumption Growth Rate by Region: 2021 vs 2025 vs 2032 (Kilotons)
Table 31. Global Silicon-Infiltrated Silicon Carbide Consumption by Region (Kilotons), 2021–2026
Table 32. Global Silicon-Infiltrated Silicon Carbide Consumption Market Share by Region (2021–2026)
Table 33. Global Silicon-Infiltrated Silicon Carbide Forecasted Consumption by Region (Kilotons), 2027–2032
Table 34. Global Silicon-Infiltrated Silicon Carbide Forecasted Consumption Market Share by Region (2027–2032)
Table 35. North America Silicon-Infiltrated Silicon Carbide Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Kilotons)
Table 36. North America Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2021–2026
Table 37. North America Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2027–2032
Table 38. Europe Silicon-Infiltrated Silicon Carbide Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Kilotons)
Table 39. Europe Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2021–2026
Table 40. Europe Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2027–2032
Table 41. Asia Pacific Silicon-Infiltrated Silicon Carbide Consumption Growth Rate by Region: 2021 vs 2025 vs 2032 (Kilotons)
Table 42. Asia Pacific Silicon-Infiltrated Silicon Carbide Consumption by Region (Kilotons), 2021–2026
Table 43. Asia Pacific Silicon-Infiltrated Silicon Carbide Consumption by Region (Kilotons), 2027–2032
Table 44. Latin America, Middle East & Africa Silicon-Infiltrated Silicon Carbide Consumption Growth Rate by Country: 2021 vs 2025 vs 2032 (Kilotons)
Table 45. Latin America, Middle East & Africa Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2021–2026
Table 46. Latin America, Middle East & Africa Silicon-Infiltrated Silicon Carbide Consumption by Country (Kilotons), 2027–2032
Table 47. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) by Type (2021–2026)
Table 48. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) by Type (2027–2032)
Table 49. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Type (2021–2026)
Table 50. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Type (2027–2032)
Table 51. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) by Type (2021–2026)
Table 52. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) by Type (2027–2032)
Table 53. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Type (2021–2026)
Table 54. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Type (2027–2032)
Table 55. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Type (2021–2026)
Table 56. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Type (2027–2032)
Table 57. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) by Application (2021–2026)
Table 58. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons) by Application (2027–2032)
Table 59. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Application (2021–2026)
Table 60. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Application (2027–2032)
Table 61. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) by Application (2021–2026)
Table 62. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) by Application (2027–2032)
Table 63. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Application (2021–2026)
Table 64. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Application (2027–2032)
Table 65. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Application (2021–2026)
Table 66. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Application (2027–2032)
Table 67. TOTO Silicon-Infiltrated Silicon Carbide Company Information
Table 68. TOTO Silicon-Infiltrated Silicon Carbide Specification and Application
Table 69. TOTO Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 70. TOTO Main Business and Markets Served
Table 71. TOTO Recent Developments/Updates
Table 72. CeramTec Silicon-Infiltrated Silicon Carbide Company Information
Table 73. CeramTec Silicon-Infiltrated Silicon Carbide Specification and Application
Table 74. CeramTec Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 75. CeramTec Main Business and Markets Served
Table 76. CeramTec Recent Developments/Updates
Table 77. Kyocera Silicon-Infiltrated Silicon Carbide Company Information
Table 78. Kyocera Silicon-Infiltrated Silicon Carbide Specification and Application
Table 79. Kyocera Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 80. Kyocera Main Business and Markets Served
Table 81. Kyocera Recent Developments/Updates
Table 82. Ceramdis Silicon-Infiltrated Silicon Carbide Company Information
Table 83. Ceramdis Silicon-Infiltrated Silicon Carbide Specification and Application
Table 84. Ceramdis Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 85. Ceramdis Main Business and Markets Served
Table 86. Ceramdis Recent Developments/Updates
Table 87. ESK-SIC GmbH Silicon-Infiltrated Silicon Carbide Company Information
Table 88. ESK-SIC GmbH Silicon-Infiltrated Silicon Carbide Specification and Application
Table 89. ESK-SIC GmbH Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 90. ESK-SIC GmbH Main Business and Markets Served
Table 91. ESK-SIC GmbH Recent Developments/Updates
Table 92. Felix Vuckovic Silicon-Infiltrated Silicon Carbide Company Information
Table 93. Felix Vuckovic Silicon-Infiltrated Silicon Carbide Specification and Application
Table 94. Felix Vuckovic Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 95. Felix Vuckovic Main Business and Markets Served
Table 96. Felix Vuckovic Recent Developments/Updates
Table 97. CoorsTek Silicon-Infiltrated Silicon Carbide Company Information
Table 98. CoorsTek Silicon-Infiltrated Silicon Carbide Specification and Application
Table 99. CoorsTek Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 100. CoorsTek Main Business and Markets Served
Table 101. CoorsTek Recent Developments/Updates
Table 102. Saint-Gobain Silicon-Infiltrated Silicon Carbide Company Information
Table 103. Saint-Gobain Silicon-Infiltrated Silicon Carbide Specification and Application
Table 104. Saint-Gobain Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 105. Saint-Gobain Main Business and Markets Served
Table 106. Saint-Gobain Recent Developments/Updates
Table 107. Schunk Carbon Technology Silicon-Infiltrated Silicon Carbide Company Information
Table 108. Schunk Carbon Technology Silicon-Infiltrated Silicon Carbide Specification and Application
Table 109. Schunk Carbon Technology Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 110. Schunk Carbon Technology Main Business and Markets Served
Table 111. Schunk Carbon Technology Recent Developments/Updates
Table 112. Entegris Silicon-Infiltrated Silicon Carbide Company Information
Table 113. Entegris Silicon-Infiltrated Silicon Carbide Specification and Application
Table 114. Entegris Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 115. Entegris Main Business and Markets Served
Table 116. Entegris Recent Developments/Updates
Table 117. Japan Fine Ceramics Silicon-Infiltrated Silicon Carbide Company Information
Table 118. Japan Fine Ceramics Silicon-Infiltrated Silicon Carbide Specification and Application
Table 119. Japan Fine Ceramics Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 120. Japan Fine Ceramics Main Business and Markets Served
Table 121. Japan Fine Ceramics Recent Developments/Updates
Table 122. Syalons Silicon-Infiltrated Silicon Carbide Company Information
Table 123. Syalons Silicon-Infiltrated Silicon Carbide Specification and Application
Table 124. Syalons Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 125. Syalons Main Business and Markets Served
Table 126. Syalons Recent Developments/Updates
Table 127. Elkem Silicon-Infiltrated Silicon Carbide Company Information
Table 128. Elkem Silicon-Infiltrated Silicon Carbide Specification and Application
Table 129. Elkem Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 130. Elkem Main Business and Markets Served
Table 131. Elkem Recent Developments/Updates
Table 132. Carborundum Universal Limited Silicon-Infiltrated Silicon Carbide Company Information
Table 133. Carborundum Universal Limited Silicon-Infiltrated Silicon Carbide Specification and Application
Table 134. Carborundum Universal Limited Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 135. Carborundum Universal Limited Main Business and Markets Served
Table 136. Carborundum Universal Limited Recent Developments/Updates
Table 137. Morgan Advanced Materials Silicon-Infiltrated Silicon Carbide Company Information
Table 138. Morgan Advanced Materials Silicon-Infiltrated Silicon Carbide Specification and Application
Table 139. Morgan Advanced Materials Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 140. Morgan Advanced Materials Main Business and Markets Served
Table 141. Morgan Advanced Materials Recent Developments/Updates
Table 142. Silcarb Silicon-Infiltrated Silicon Carbide Company Information
Table 143. Silcarb Silicon-Infiltrated Silicon Carbide Specification and Application
Table 144. Silcarb Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 145. Silcarb Main Business and Markets Served
Table 146. Silcarb Recent Developments/Updates
Table 147. IPS Ceramics Silicon-Infiltrated Silicon Carbide Company Information
Table 148. IPS Ceramics Silicon-Infiltrated Silicon Carbide Specification and Application
Table 149. IPS Ceramics Silicon-Infiltrated Silicon Carbide Production (Kilotons), Value (US$ Million), Price (US$/Ton) and Gross Margin (2021–2026)
Table 150. IPS Ceramics Main Business and Markets Served
Table 151. IPS Ceramics Recent Developments/Updates
Table 152. Key Raw Materials Lists
Table 153. Raw Materials Key Suppliers Lists
Table 154. Silicon-Infiltrated Silicon Carbide Distributors List
Table 155. Silicon-Infiltrated Silicon Carbide Customers List
Table 156. Silicon-Infiltrated Silicon Carbide Market Trends
Table 157. Silicon-Infiltrated Silicon Carbide Market Drivers
Table 158. Silicon-Infiltrated Silicon Carbide Market Challenges
Table 159. Silicon-Infiltrated Silicon Carbide Market Restraints
Table 160. Research Programs/Design for This Report
Table 161. Key Data Information from Secondary Sources
Table 162. Key Data Information from Primary Sources
Table 163. Authors List of This Report
List of Figures
Figure 1. Product Picture of Silicon-Infiltrated Silicon Carbide
Figure 2. Global Silicon-Infiltrated Silicon Carbide Market Value by Type (US$ Million), 2021–2032
Figure 3. Global Silicon-Infiltrated Silicon Carbide Market Share by Type: 2025 vs 2032
Figure 4. Powder Product Picture
Figure 5. Blocky Product Picture
Figure 6. Global Silicon-Infiltrated Silicon Carbide Market Value by Performance (US$ Million), 2021–2032
Figure 7. Global Silicon-Infiltrated Silicon Carbide Market Share by Performance: 2025 vs 2032
Figure 8. High Intensity Product Picture
Figure 9. High Thermal Shock Resistance Product Picture
Figure 10. High Corrosion Resistance Product Picture
Figure 11. Global Silicon-Infiltrated Silicon Carbide Market Value by Hole (US$ Million), 2021–2032
Figure 12. Global Silicon-Infiltrated Silicon Carbide Market Share by Hole: 2025 vs 2032
Figure 13. High Density Product Picture
Figure 14. Microporous Product Picture
Figure 15. Global Silicon-Infiltrated Silicon Carbide Market Value by Application (US$ Million), 2021–2032
Figure 16. Global Silicon-Infiltrated Silicon Carbide Market Share by Application: 2025 vs 2032
Figure 17. Machine Tool Table
Figure 18. Mirror Substrate
Figure 19. Precision Device
Figure 20. Others
Figure 21. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million), 2021 vs 2025 vs 2032
Figure 22. Global Silicon-Infiltrated Silicon Carbide Production Value (US$ Million), 2021–2032
Figure 23. Global Silicon-Infiltrated Silicon Carbide Production Capacity (Kilotons), 2021–2032
Figure 24. Global Silicon-Infiltrated Silicon Carbide Production (Kilotons), 2021–2032
Figure 25. Global Silicon-Infiltrated Silicon Carbide Average Price (US$/Ton), 2021–2032
Figure 26. Silicon-Infiltrated Silicon Carbide Report Years Considered
Figure 27. Silicon-Infiltrated Silicon Carbide Production Share by Manufacturers in 2025
Figure 28. Global Silicon-Infiltrated Silicon Carbide Production Value Share by Manufacturers (2025)
Figure 29. Silicon-Infiltrated Silicon Carbide Market Share by Company Type (Tier 1, Tier 2, and Tier 3): 2021 vs 2025
Figure 30. Top 5 and Top 10 Global Players: Market Share by Silicon-Infiltrated Silicon Carbide Revenue in 2025
Figure 31. Global Silicon-Infiltrated Silicon Carbide Production Value by Region: 2021 vs 2025 vs 2032 (US$ Million)
Figure 32. Global Silicon-Infiltrated Silicon Carbide Production Value Market Share by Region: 2021 vs 2025 vs 2032
Figure 33. Global Silicon-Infiltrated Silicon Carbide Production Comparison by Region: 2021 vs 2025 vs 2032 (Kilotons)
Figure 34. Global Silicon-Infiltrated Silicon Carbide Production Market Share by Region: 2021 vs 2025 vs 2032
Figure 35. North America Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) Growth Rate (2021–2032)
Figure 36. Europe Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) Growth Rate (2021–2032)
Figure 37. China Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) Growth Rate (2021–2032)
Figure 38. Japan Silicon-Infiltrated Silicon Carbide Production Value (US$ Million) Growth Rate (2021–2032)
Figure 39. Global Silicon-Infiltrated Silicon Carbide Consumption by Region: 2021 vs 2025 vs 2032 (Kilotons)
Figure 40. Global Silicon-Infiltrated Silicon Carbide Consumption Market Share by Region: 2021 vs 2025 vs 2032
Figure 41. North America Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 42. North America Silicon-Infiltrated Silicon Carbide Consumption Market Share by Country (2021–2032)
Figure 43. U.S. Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 44. Canada Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 45. Europe Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 46. Europe Silicon-Infiltrated Silicon Carbide Consumption Market Share by Country (2021–2032)
Figure 47. Germany Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 48. France Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 49. U.K. Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 50. Italy Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 51. Russia Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 52. Asia Pacific Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 53. Asia Pacific Silicon-Infiltrated Silicon Carbide Consumption Market Share by Region (2021–2032)
Figure 54. China Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 55. Japan Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 56. South Korea Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 57. China Taiwan Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 58. Southeast Asia Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 59. India Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 60. Latin America, Middle East & Africa Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 61. Latin America, Middle East & Africa Silicon-Infiltrated Silicon Carbide Consumption Market Share by Country (2021–2032)
Figure 62. Mexico Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 63. Brazil Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 64. Turkey Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 65. GCC Countries Silicon-Infiltrated Silicon Carbide Consumption and Growth Rate (Kilotons), 2021–2032
Figure 66. Global Production Market Share of Silicon-Infiltrated Silicon Carbide by Type (2021–2032)
Figure 67. Global Production Value Market Share of Silicon-Infiltrated Silicon Carbide by Type (2021–2032)
Figure 68. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Type (2021–2032)
Figure 69. Global Production Market Share of Silicon-Infiltrated Silicon Carbide by Application (2021–2032)
Figure 70. Global Production Value Market Share of Silicon-Infiltrated Silicon Carbide by Application (2021–2032)
Figure 71. Global Silicon-Infiltrated Silicon Carbide Price (US$/Ton) by Application (2021–2032)
Figure 72. Silicon-Infiltrated Silicon Carbide Value Chain
Figure 73. Channels of Distribution (Direct Vs Distribution)
Figure 74. Bottom-up and Top-down Approaches for This Report
Figure 75. Data Triangulation