In this section, we showcase reentrant and doubly reentrant cavities (RCs and DRCs, Figure 9) and reentrant and doubly reentrant pillars (RPs and DRPs, Figure 10) microfabricated using the protocols described above. All the cavities have the diameter, DC = 200 μm, the depth, hC ≈ 50 μm, and the center-to-center distance (or the pitch) between adjacent cavities to be LC = DC + 12 μm. Using the same fabrication protocols, cavities of non-circular shapes can also be prepared, as reported previously26.
The diameter of the cap on top of the pillars was DP = 20 μm, and their height and pitch were, respectively, hp ≈ 30 μm and LP = 100 μm (Figure 10).
Wetting Behaviors of Gas-Entrapping Microtextures (GEMs)
Flat silica (SiO2) is intrinsically wetting towards most polar and nonpolar liquids. For instance, the intrinsic contact angles of droplets of hexadecane (γLV = 20 mN/m at 20 °C) and water (surface tension γLV = 72.8 mN/m at 20 °C) on silica were, respectively, and θo ≈ 20° and θo ≈ 40°. However, after microfabricating reentrant and doubly reentrant cavities (DRCs) and pillars, the contact angles changed dramatically (Table 6). We measured the advancing/receding contact angles by dispensing/retracting the liquids at the rate of 0.2 µL/s and found the apparent contact angles for both liquids, θr > 120°, (omniphobic; Figure 11E). Receding contact angles, θr ≈ 0° because of the lack of discontinuity in the microtextures, such as in pillar-based microtextures. On the other hand, SiO2/Si surfaces with arrays of doubly reentrant pillars (DRPs) exhibited apparent contact angles, θr > 150° for both liquids and the contact angle hysteresis was minimal (superomniphobic, Figure 11A and Movies S1 and S2). Curiously, when the same SiO2/Si surfaces with arrays of pillars were immersed in the same liquids they got intruded instantaneously, t < 1 s, i.e. no air was entrapped (Figure 10A–D, Movie S3). So, while the pillars appeared to be superomniphobic in terms of contact angles, they failed to entrap air on immersion. In fact, wetting liquids intrude from the boundary of the microtexture (or from localized defects) and displace any trapped air instantaneously (Figure 11A–D and Movie S3). In contrast, DRCs entrapped air upon immersion in both liquids (Figure 11E–H and S1, Table 1); for hexadecane, the entrapped air was intact even after 1 month26. Our confocal microscopy experiments demonstrated that the overhanging features stabilize the intruding liquids and entrap air inside them (Figure 12A–B).
Next, to entrap air in arrays of DRPs, we employed the same microfabrication protocols to achieve arrays of pillars surrounded by walls of doubly reentrant profile (Figure 10G–I). This strategy insulated the stems of the DRPs from wetting liquids. As a result, the hybrid microtextures behaved as GEMs, as confirmed by confocal microscopy (Figure 12C–D) and Movie S4, Table 6). Thus, silica surfaces with hybrid microtextures exhibited omniphobicity on immersion by trapping air and demonstrated contact angles, θr > 120°, (omniphobic), and proved omniphobic in the true sense, i.e. in terms of contact angles and entrapping air on immersion. In Table 6, we assess the omniphobicity of SiO2/Si surfaces with a variety of microtextures cavity-based, pillar-based, and hybrids by contact angles and immersion.

Figure 1: Schematics of microstructures. (A–B) Reentrant cavities, (C–D) doubly reentrant cavities, (E–F) reentrant pillars, (G–H) doubly reentrant pillars. Please click here to view a larger version of this figure.

Figure 2: Design patterns for cavities. Design patterns for reentrant and doubly reentrant cavities generated using the layout software. The pattern was transferred onto the wafer using photolithography. Please click here to view a larger version of this figure.

Figure 3: Microfabrication protocol for reentrant cavities. (A) Clean silicon wafer with 2.4 µm thick silica on top. (B) Spin-coat the wafer with photoresist and expose to UV light. (C) Develop the UV exposed photoresist to obtain the design pattern. (D) Etching of the exposed top silica layer vertically downward (anisotropic etching) using inductively coupled plasma (ICP) reactive-ion etching (RIE). (E) Shallow anisotropic etching of exposed silicon layer using deep ICP-RIE. (F) Isotropic etching of silicon to create the reentrant edge. (G) Deep anisotropic silicon etching to increase the depth of the cavities. Please click here to view a larger version of this figure.

Figure 4: Microfabrication protocol for doubly reentrant cavities. (A) Clean silicon wafer with 2.4 µm thick silica on top. (B) Spin-coat the wafer with photoresist and expose to UV light. (C) Develop the UV exposed photoresist to obtain the design pattern. (D) Etching of the exposed top silica layer vertically downward (anisotropic etching) using inductively coupled plasma (ICP) reactive-ion etching (RIE). (E) Shallow anisotropic etching of exposed silicon layer using deep ICP-RIE. (F) Shallow isotropic etching of silicon to create undercut using deep ICP-RIE. (G) Thermal oxide growth. (H) Anisotropic etching of top and bottom silica layer. (I) Shallow anisotropic etching of silicon. (J) Isotropic silicon etch to create the doubly reentrant edge. (K) Deep anisotropic silicon etching to increase the depth of the cavities. Please click here to view a larger version of this figure.

Figure 5: Design patterns for pillars. Design patterns for reentrant, doubly reentrant, and hybrid pillars generated using the layout software. The pattern was transferred onto the wafer using photolithography. Please click here to view a larger version of this figure.

Figure 6: Microfabrication protocol of reentrant pillars. (A) Clean silicon wafer with 2.4 µm thick silica on top. (B) Spin-coat the wafer with photoresist and expose to UV light. (C) Develop the UV exposed photoresist to obtain the design pattern. (D) Etching of the exposed top silica layer vertically downward (anisotropic etching) using inductively coupled plasma (ICP) reactive-ion etching (RIE). (E) Deep anisotropic silicon etching to increase the height of the pillars. (F) Isotropic silicon etching to create the reentrant edge. Please click here to view a larger version of this figure.

Figure 7: Microfabrication protocol for doubly reentrant pillars. (A) Clean silicon wafer with 2.4 µm thick silica on top. (B) Spin-coat the wafer with photoresist and expose to UV light. (C) Develop the UV exposed photoresist to obtain the design pattern. (D) Etching of the exposed top silica layer vertically downward (anisotropic etching) using inductively coupled plasma (ICP) reactive-ion etching (RIE). (E) Shallow anisotropic etching of exposed silicon layer using deep ICP-RIE. (F) Shallow isotropic etching of silicon to create undercut using deep ICP-RIE. (G) Thermal oxide growth. (H) Anisotropic etching of the top and bottom of silica layer. (I) Anisotropic silicon etching to increase the height of the pillars. (J) Isotropic silicon etching to create the doubly reentrant edge. Note that the only difference between doubly reentrant pillars and the "hybrid" is the design at the beginning. Please click here to view a larger version of this figure.

Figure 8: Microfabrication protocol for reentrant and doubly reentrant cavities and pillars. The flowchart lists the key steps involved. Please click here to view a larger version of this figure.

Figure 9: Scanning electron micrographs of reentrant and doubly reentrant cavities. (A–D) Cross sectional and isometric views of silica surfaces with array of reentrant cavities. (E–H) Cross sectional and top views of doubly reentrant cavities. DC = diameter of the cavity and LC = the center-to-center distance between adjacent cavities (or pitch), and hC = depth of the cavity. Please click here to view a larger version of this figure.

Figure 10: Scanning electron micrographs of reentrant and doubly reentrant pillars. (A–C) Isometric view of reentrant pillars. (D–F) Doubly reentrant pillars. (G–I) Hybrid pillars - DRPs surrounded by doubly reentrant walls. DP - diameter of the pillar cap and LP - the center-to-center distance between adjacent pillars (or pitch), and hP – height of the pillars. Figure D–I, reprinted from Ref.35, Copyright (2019), with permission from Elsevier. Please click here to view a larger version of this figure.

Figure 11: Wetting behavior. (A) Superomniphobicity of SiO2/Si surfaces adorned with arrays doubly reentrant pillars, observed by placing liquid drops on top. (B–D) The superomniphobicity is lost instantaneously, if wetting liquids touch the boundary or localized defects. (E) SiO2/Si surfaces adorned with arrays doubly reentrant cavities exhibit omniphobicity. (F–H) These microtextures entrap air robustly and do not lose it if liquid touches the boundary or localized defects. Reprinted from Ref.35, Copyright (2019), with permission from Elsevier. Please click here to view a larger version of this figure.

Figure 12: Confocal microscopy of microtextures immersed in liquids. Computer-enhanced 3D reconstructions of representative confocal images (isometric and cross-sections along the dotted lines) of wetting transitions in silica surfaces with doubly reentrant cavities and hybrid pillars immersed under a z ≈ 5 mm column after 5 min of immersion of (A,C) water, and (B,D) hexadecane. The (false) blue and yellow colors correspond to the interfaces of water and hexadecane with the trapped air. Intruding liquid menisci were stabilized at doubly reentrant edge. (Scale bar = Diameter of the cavity and pillar 200 µm and 20 µm respectively). Figure 12 was reprinted from Ref.35, Copyright (2019), with permission from Elsevier. Please click here to view a larger version of this figure.
| Stage 1: Dehydration and purging oxygen from chamber |
| Step | Process sequence | Time (min) |
| 1 | Vacuum (10 Torr) | 1 |
| 2 | Nitrogen (760 Torr) | 3 |
| 3 | Vacuum (10 Torr) | 1 |
| 4 | Nitrogen (760 Torr) | 3 |
| 5 | Vacuum (10 Torr) | 1 |
| 6 | Nitrogen (760 Torr) | 3 |
| Stage 2: Priming |
| Process sequence | Time (min) |
| 7 | Vacuum (1 Torr) | 2 |
| 8 | HMDS (6 Torr) | 5 |
| Stage 3: Purging Prime Exhaust |
| Process sequence | Time (min) |
| 9 | Vacuum | 1 |
| 10 | Nitrogen | 2 |
| 11 | Vacuum | 2 |
| Stage 4: Return to Atmosphere (Backfill) |
| Process sequence | Time (min) |
| 12 | Nitrogen | 3 |
Table 1: Process details for coating hexamethyldisilazane (HMDS) layers to enhance the adhesion between the silica surface and the AZ-5214E photoresist.
| Step | Speed (rpm) | Ramp (rpm/s) | Time (s) |
| 1 | 800 | 1000 | 3 |
| 2 | 1500 | 1500 | 3 |
| 3 | 3000 | 3000 | 30 |
Table 2: Process details for achieving 1.6 µm-thick AZ-5214E photoresist layer on SiO2/Si wafers by spin-coating.
| RF power, (W) | ICP power, (W) | Etching pressure, (mTorr) | C4F8 flow (sccm) | O2 flow (sccm) | Temperature, (°C) |
| 100 | 1500 | 10 | 40 | 5 | 10 |
Table 3: Parameter settings for silica etching used in Inductively Coupled Plasma – Reactive Ion Etching (ICP-RIE).
| RF power, (W) | ICP power, (W) | Etching pressure, (mTorr) | SF6 flow, (sccm) | Temperature, (°C) |
| 20 | 1800 | 35 | 110 | 15 |
Table 4: Parameter settings for silicon etching (isotropic) used in inductively coupled plasma – deep reactive ion etching (ICP-DRIE).
| Step | RF power, (W) | ICP power, (W) | Etching pressure, (mTorr) | SF6 flow, (sccm) | C4F8 flow, (sccm) | Temperature, (°C) | Deposition/ Etching time, (s) |
| Passivation layer | 5 | 1300 | 30 | 5 | 100 | 15 | 5 |
| Etching | 30 | 1300 | 30 | 100 | 5 | 15 | 7 |
Table 5: Parameter settings for silicon etching (anisotropic) used in inductively coupled plasma – deep reactive ion etching (ICP-DRIE).
| Surfaces | Criterion: Contact angles in air | Criterion: Immersion |
| Water | Hexadecane | Water | Hexadecane |
| DRPs | θr | 153°±1° | 153° ± 1° | Instantaneous penetration | Instantaneous penetration |
| θA | 161°±2° | 159° ± 1° |
| θR | 139°±1° | 132° ± 1° |
| Assessment: | Superomniphobic | Not omniphobic – in fact, omniphilic |
| DRCs | θr | 124° ± 2° | 115° ± 3° | Trapped air (omniphobic) | Trapped air (omniphobic) |
| θA | 139° ± 3° | 134° ± 5° |
| θR | 0° | 0° |
| Assessment: | Omniphobic | Omniphobic |
| Hybrids | θr | 153°± 2° | 153° ± 2° | Trapped air (omniphobic) | Trapped air (omniphobic) |
| θA | 161°± 2° | 159° ± 2° |
| θR | 0° | 0° |
| Assessment: | Omniphobic | Omniphobic |
Table 6: Contact angle measurements – advancing (θA), receding (θR), and apparent (θr) – and immersion in liquids. This table reprinted from Ref.35, Copyright (2019), with permission from Elsevier.

Movie S1: High speed image sequence (15K fps) of water droplet bouncing from microtextured surfaces comprising of doubly reentrant pillars. This movie was reprinted from ref 35. Copyright (2019), with permission from Elsevier. Please click here to view this video (Right click to download).

Movie S2: High speed image sequence (19K fps) of hexadecane droplet bouncing from microtextured surfaces comprising of doubly reentrant pillars. This movie was reprinted from ref 35. Copyright (2019), with permission from Elsevier. Please click here to view this video (Right click to download).

Movie S3: Image sequence (200 fps) of water imbibition into microtexture comprising of doubly reentrant pillars. This movie was reprinted from ref 35. Copyright (2019), with permission from Elsevier. Please click here to view this video (Right click to download).

Movie S4: Image sequence (200 fps) water drop advancing next to hybrid microtexture. Presence of doubly reentrant boundary wall prevents liquid invasion into the microtexture, which makes the surface omniphobic under immersion also. This movie was reprinted from ref 35. Copyright (2019), with permission from Elsevier. Please click here to view this video (Right click to download).