Why Use Gold Rather Than Silver And Copper in PCB Fabrication

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Introduction to PCB Fabrication and the Role of Metals

Printed Circuit Board (PCB) fabrication is the process of creating electronic circuits by etching conductive pathways onto a non-conductive substrate. The conductive pathways are typically made of metals such as copper, silver, or gold. The choice of metal used in PCB fabrication can have a significant impact on the performance, reliability, and cost of the final product.

In this article, we will explore the reasons why gold is often preferred over silver and copper in PCB fabrication, despite its higher cost. We will delve into the unique properties of gold that make it an ideal choice for certain applications, and compare it to the properties of silver and copper.

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Properties of Gold in PCB Fabrication

Gold is a precious metal that is known for its excellent electrical conductivity, corrosion resistance, and durability. In PCB fabrication, gold is often used as a coating on top of copper traces to improve their performance and longevity.

Electrical Conductivity

One of the most important properties of gold in PCB fabrication is its excellent electrical conductivity. Gold has a conductivity of 4.10 x 10^7 S/m, which is slightly lower than copper (5.96 x 10^7 S/m) and silver (6.30 x 10^7 S/m). However, gold’s conductivity is still high enough to make it a suitable choice for many applications.

Metal Electrical Conductivity (S/m)
Gold 4.10 x 10^7
Copper 5.96 x 10^7
Silver 6.30 x 10^7

Corrosion Resistance

Another important property of gold in PCB fabrication is its excellent corrosion resistance. Gold does not oxidize or tarnish when exposed to air or moisture, unlike copper and silver which can develop a layer of oxidation over time. This makes gold an ideal choice for applications where the PCB will be exposed to harsh environments or needs to have a long lifespan.

Metal Corrosion Resistance
Gold Excellent
Copper Poor
Silver Fair

Durability

Gold is also known for its durability in PCB fabrication. Gold-plated contacts can withstand multiple insertions and removals without wearing out, making them ideal for use in connectors and switches. Gold’s softness also allows for better contact with irregular surfaces, ensuring a reliable connection.

Metal Durability
Gold Excellent
Copper Good
Silver Fair
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Comparison of Gold, Silver, and Copper in PCB Fabrication

While gold has many desirable properties for PCB fabrication, it is not always the best choice for every application. Let’s compare gold to silver and copper in terms of their performance, cost, and common uses.

Performance

In terms of electrical conductivity, silver is the best performer, followed closely by copper and then gold. However, gold’s corrosion resistance and durability make it a better choice for applications where reliability is critical.

Metal Electrical Conductivity Corrosion Resistance Durability
Gold Good Excellent Excellent
Copper Excellent Poor Good
Silver Excellent Fair Fair

Cost

One of the main drawbacks of using gold in PCB fabrication is its high cost. Gold is significantly more expensive than copper and silver, which can drive up the cost of the final product. However, in applications where reliability and longevity are critical, the higher upfront cost of gold may be justified by reduced maintenance and replacement costs over the lifetime of the product.

Metal Cost
Gold High
Copper Low
Silver Moderate

Common Uses

Gold is commonly used in PCB fabrication for applications where high reliability, durability, and corrosion resistance are required. Some common uses of gold in PCB fabrication include:

  • Connectors and switches
  • High-frequency circuits
  • Aerospace and military applications
  • Medical devices

Copper is the most widely used metal in PCB fabrication due to its excellent electrical conductivity and low cost. It is commonly used for:

  • General-purpose PCBs
  • High-current applications
  • Low-cost consumer electronics

Silver is sometimes used as a cheaper alternative to gold in applications where corrosion resistance and durability are important, but not critical. It is commonly used for:

  • RFID antennas
  • Membrane switches
  • Flexible circuits

Advantages of Using Gold in PCB Fabrication

Despite its higher cost, there are several advantages to using gold in PCB fabrication:

  1. Improved reliability: Gold’s excellent corrosion resistance and durability ensure that the PCB will function reliably over a long period of time, even in harsh environments.

  2. Reduced maintenance and replacement costs: While the upfront cost of gold may be higher, its longevity can reduce the need for frequent maintenance and replacement, leading to cost savings over the lifetime of the product.

  3. Better contact with irregular surfaces: Gold’s softness allows for better contact with irregular surfaces, ensuring a reliable connection even in challenging environments.

  4. Compatibility with wire bonding: Gold is compatible with wire bonding, a common method of making electrical connections between components in semiconductor devices.

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Disadvantages of Using Gold in PCB Fabrication

There are also some disadvantages to using gold in PCB fabrication:

  1. High cost: Gold is significantly more expensive than copper and silver, which can drive up the cost of the final product.

  2. Limited availability: Gold is a rare metal, and its limited availability can lead to supply chain issues and price fluctuations.

  3. Difficulty in soldering: Gold can be difficult to solder due to its high melting point and tendency to dissolve in solder. Special techniques and materials may be required to ensure a reliable solder joint.

Conclusion

In conclusion, gold is often preferred over silver and copper in PCB fabrication for applications where high reliability, durability, and corrosion resistance are critical. Despite its higher cost, gold’s unique properties make it an ideal choice for connectors, switches, high-frequency circuits, and aerospace/military applications.

However, gold is not always the best choice for every application. Copper remains the most widely used metal in PCB fabrication due to its excellent electrical conductivity and low cost, while silver can be a cheaper alternative to gold in some applications.

Ultimately, the choice of metal in PCB fabrication depends on the specific requirements of the application, including performance, cost, and environmental factors. By understanding the properties and trade-offs of each metal, designers can make informed decisions to ensure the best possible performance and reliability of their products.

Frequently Asked Questions (FAQ)

  1. Q: What are the main advantages of using gold in PCB fabrication?
    A: The main advantages of using gold in PCB fabrication are its excellent corrosion resistance, durability, and ability to make reliable contacts with irregular surfaces. Gold is also compatible with wire bonding, making it ideal for semiconductor devices.

  2. Q: Why is gold more expensive than copper and silver in PCB fabrication?
    A: Gold is more expensive than copper and silver due to its rarity and limited availability. Gold is also more difficult to extract and refine compared to copper and silver, which contributes to its higher cost.

  3. Q: Can gold be used for all types of PCBs?
    A: While gold can be used for many types of PCBs, it is not always the best choice for every application. Gold is typically used in applications where high reliability, durability, and corrosion resistance are critical, such as connectors, switches, high-frequency circuits, and aerospace/military applications.

  4. Q: Is gold always the best choice for high-reliability applications?
    A: Gold is often the best choice for high-reliability applications due to its excellent corrosion resistance and durability. However, in some cases, other metals such as silver or specialized alloys may be a better choice depending on the specific requirements of the application.

  5. Q: Can gold be soldered easily in PCB fabrication?
    A: Gold can be difficult to solder due to its high melting point and tendency to dissolve in solder. Special techniques and materials, such as using a gold-compatible solder alloy or a barrier layer between the gold and the solder, may be required to ensure a reliable solder joint.