5/8 Vertical for 30 Meters

A HIGH-PERFORMANCE 1-WIRE DX ANTENNA

By Gary Huff, K9AUB

We all would love to have a very high tower with an elaborate array of Yagi antennas to assist us in our pursuit of DX.  However, many of us have limited funds, and we can’t afford such elaborate equipment.  Indeed, some of us live in areas where towers are prohibited.  However, if you have a tall tree or other high support in your yard, don’t think that you can’t work DX with a simple wire antenna.  You can put that tree to work for you!

It is often said that the best simple antenna for DX is a vertical antenna.  This is true, but often a vertical is disappointing because it really doesn’t perform all that well.  However, there are verticals, and then there are VERTICALS!

Vertical antennas can be improved upon by making them higher (longer), and by installing a decent field of ground radials under the antenna.

The “standard” vertical for HF work is a ¼ wave vertical.  When placed over a decent set of ground radials, it will perform well for DX work (over 1000 miles).  It may not seem to be much of an improvement on shorter DX paths, out to 2000 – 4000 miles.  Beyond about 5000 miles, the ¼ wave vertical does begin to outperform a dipole.  By the time you get out to 6000-8000 miles, a ¼ wave vertical has a noticeable advantage over dipoles.  Still, they aren’t always the panacea for working DX that they are often described to be.

However, there are more verticals than just a simple ¼ wave vertical.  You can also lengthen them to a height of ½ wave, or 5/8 wave!  When you do this, their performance does improve by a noticeable amount, because their angle of radiation is lowered.  (There isn’t a lot of improvement to go beyond 5/8 wave.)

A ¼ wave vertical has approximately a 30 degree angle of radiation, which is an improvement over a dipole, because a dipole wastes so much radiation at higher angles.  For short-range communications, a higher angle of radiation is an advantage, which is why dipoles are superior for short-range work.  Still, a 30 degree angle of radiation is not ideal for DX work.  To achieve maximum performance over a long distance, we need to lower that angle of attack to an even lower angle.  Ideally, the best angle of attack is approximately 16 degrees.  Can we achieve that with a simple vertical antenna?  Well, in a word, yes.

A ½ wave vertical has a lowered angle of radiation of about 20 degrees, and displays slight gain over a ¼ wave vertical.  This is an improvement over a ¼ wave vertical!  However, the ½ wave vertical presents some significant problems with feeding it.  The bottom of a ½ wave vertical is at a very high impedance, high voltage point, and requires some carefully engineered matching networks to feed it.  Capacitors and inductors must be tuned to match the high impedance, and they must have high voltage ratings, since there are at least several thousand RF volts at the end of a ½ wave vertical.  This problem can be overcome by feeding the ½ wave vertical at the center, where it becomes simply a dipole antenna hung straight up and down.  If you can run the feedline at a 90 degree angle from the vertical wire, this may be a solution for you.

Can we improve on this vertical antenna?  Yes, we can!  If we lengthen the vertical antenna to 5/8 wave in length, the angle of radiation lowers to an ideal 16 degrees, making it perfect for DX performance!  And, the base of the 5/8 wave vertical can be fed with ordinary 52 ohm coax.  There is a slight amount of capacitive reactance at the base, and the “perfect” 5/8 wave vertical has a small amount of inductance in series with the base of the antenna, to tune out this reactance.  Fortunately, this isn’t a critical coil, and can be simply 6 or 8 turns of wire, with a diameter of about 2 “.  If you demand a perfect 1:1 match, you might want to wind a longer coil and then tap it 1 turn at a time until you find the perfect inductance to exactly match your antenna.  But, for practical applications, you can simply feed the antenna with coaxial cable, and you’ll get good performance.  If you use an antenna tuner, you’ll be just fine with this simple antenna.

Take a look at this graph, which shows the gain and angle of radiation for each type of vertical:

This 5/8 wave antenna also displays about 3 dB of gain over a ¼ wave vertical.  So, you get an effective increase in radiated power, AND it’s at the more ideal 16 degrees of radiation!  The effective performance can often be an actual improvement over a ¼ wave vertical by several S-units on long-distance paths!

How long should the antenna be?  Well, here’s where it gets interesting.  The formula for a 5/8 wave antenna is 585 / F (mHz).  This compares to the formula for a ¼ wave vertical, 234 / F (mHz), and the ½ wave vertical formula is 468 / F (mHz).

Let’s see… if we install a ¼ wave vertical for 40 meters CW, that’s approximately 33.4 feet.  If we want to install a 5/8 wave antenna for 17 meters (18.1 mHz), that length is 32.3 feet.  WAIT A MINUTE…. Those numbers are VERY close!  That means that a ¼ wave vertical for 40 meters can also be used unmodified for a 5/8 wave vertical for 17 meters!  You get two for one!  Nice!

But, we’re not finished.  Let’s look at what else such an antenna can do.  We all know that a 40 meter antenna can be used on its 3^rd harmonic, or 15 meters.  In actual practice, we usually discover that a 40 meter antenna isn’t really ideal for 15 meters.  For various reasons, the 40 meter antenna resonates very high in the 15 meter band, up at the top of – or outside - the phone end of the band.

Well, can we play with this antenna a bit and make it a better performer?  Well, of course we can!  Turns out that by making the 40 meter vertical slightly long so that it resonates at the very bottom of the band (7.000 mHz), the resonant spot on 15 meters drops down to the middle of the 15 meter phone band, about 21.3 mHz.  If we make the 40 meter vertical just slightly longer, making it match about 6.985 mHz, we still have an almost perfect 1:1 SWR on the very bottom of 40 meters CW, and that number rises to about 1.7:1 SWR at 7.300 mHz, the top of the 40 meter phone band.  Most modern transmitters with pi networks can easily match this antenna across the entire 40 meter band.  Or, we can use an antenna tuner.  This would call for a length of about 33.5 feet.

A 33.5 foot vertical will have a perfect 1:1 SWR on 15 meters with a resonance of close to 1:1 around 21.250 mHz.  It becomes a 3/2 wave length antenna, which means it will have a much lower angle of radiation, approximately 18 degrees, and it will have about 3 dB of gain on 15 meters.  This means it will be a “hot” performer on 15 meters, and can be matched across the 15 meter band with ease.

Now, can we squeeze more performance out of this 40 meter vertical?  Well, it’s only slightly longer than a 5/8 wave vertical for 17 meters, which ideally needs a 32.3 foot length.  The difference is small enough that, again, this antenna can be matched with ease on 17 meters!

So, summarizing, if we install a ¼ wave vertical for 40 meters, resonant at the bottom of the 40 meter CW band, we end up also with an excellent performing 5/8 wave vertical for 17 meters, AND a very decent performing ¾ wave vertical on 15 meters.  1 antenna, 3 bands!  And all it takes is one single vertical radiator of about 33’4” in height.

What shall we construct this vertical radiator from?  Well, we can install aluminum or steel tubing, install it over a base insulator (a champagne bottle works nicely here!), and add suitable guy wires.  That’s what you’ll need if you have no trees on your property.  But, if we have any mature trees on our property, then we almost certainly have a limb at least 34 feet or higher from the ground.  With a sling shot or casting rod, a rope can be shot over one of these tall limbs, and an ordinary piece of wire can be pulled up to vertical position.  A vertical wire will work just as well as a length of tubing.  Install an insulator at each end, and a short ground stake or ground anchor at the base to hold the bottom of the wire in place, and you’ve got your vertical radiator.

Now, the next important part of a vertical antenna is ground radials.  The books try to intimidate you into thinking that you need a ground field of 120 radials, or at least 60 radials if you want the antenna to work at all.  But is that true?  What if you only have room for 8 or 10 radials?  Will the antenna still perform?  In a word, yes.  The difference in performance between a vertical antenna with only 4 ground-mounted radials will be improved by about 1 S-unit if you proceed with the full 120 radials.  Hardly worth the effort for all but the most heroic installations.  In real life, 8 or 16 radials is perfectly adequate.  The difference between 16 radials and 120 radials is only a fraction of an S-unit.

How long should the radials be?  Well, ¼ wave on the lowest frequency you plan to use the antenna on is adequate, about 33 feet each.  These radials should be made of copper wire, if possible, but you can use galvanized steel (electric fence wire) if you’re on a budget.  The heavier the wire, the longer it will stand up to the elements.  Thin steel wire will rust out and be gone in a few years.  Thick copper wire (10 AWG) will last for many years.  Let your budget be your guide.

Whatever you use, the radials should all be connected at the base of the antenna to a ground ring, which can be as simple as a loop of heavy copper wire encircling the base of the antenna.  Solder each radial to the loop.  Use a heavy soldering gun to make the connection.

Is the length of the radials critical?  Well, actually not.  If your property line prohibits running a full ¼ wave radial out in each direction, don’t worry if you can only achieve part of this length.  Or, you can run the radial out to your property line, and then bend it to complete the length of the run.

Can the radials be longer than ¼ wave?  Yes, they can.  In fact, longer radials tend to give improved performance.  Feel free to run your radials out to the limits of your property line.  A 50 foot radial works better than a 33 foot radial, and a 100 foot radial works even better.  The reason that is true is that the radial is forming a capacitive coupling to the earth, and the longer wire improves that coupling out to a longer distance around the base of the antenna.

The radials may be buried a few inches below the surface, to keep them out of the reach of the lawn mower.  However, if you lay the radials out in late Fall, the snows and rain will bury your radials for you.  By Spring, they will have sunk slightly below the surface of the ground, and they will be safe.  Inspect the radials in the Spring:  if there are any high spots, go ahead and push them slightly into the ground while it’s still soft and muddy.  After a couple of years, you’ll never know the radials are there. 

What kind of wire can we use for the vertical?  It can be anything you have on hand, but for the vertical portion, it should be strong enough to stand up to Illinois ice, wind and snow storms.  Use a quality wire if you can, 14 gauge copper clad steel is perfect.  But, you can also use 12 or 14 gauge ordinary single-conductor house wire.  Don’t use 16 gauge hookup wire; it’s not sturdy enough to last more than about 1 season.  If it’s 16 gauge copperweld, that will work fine.

Can the wire be insulated?  Yes, but be aware that there is a slight Velocity Factor to insulated wire, which will make your antenna be very slightly shorter than bare copper wire.  There is no deterioration in performance with insulated wire, but you’ll probably have to trim your vertical radiator slightly to bring the antenna to resonance.

For the radials, use any wire you have on hand.  It can be bare or insulated.  For a cheap source of wire for radials, check with a contractor friend who is remodeling an old house or store.  Often, they have a lot of wire they’ve pulled out of the building, and if it’s not long enough, simply solder it end to end and use it for your radials.  If all else fails, buy some 14 or 16 gauge ignition wire from a farm store, where it is sold in 100 foot rolls very cheaply. 

What if your tree limb is just slightly too low, and you can’t stretch out the antenna as you’d like?  Well, you could add a loop of wire at the top of the antenna, which acts as a capacitive hat.  The larger the loop, the shorter the physical length of the antenna can be.  You’ll need to trim your antenna to its final length.  It’s wise to start out with your vertical radiator being slightly long, and then trim it slightly to bring it to resonance.  After you’ve got your length worked out, then solder everything in place.

Remember, the 585 / F (mHz) works for all other bands as well.  If you wanted a very high performance 40 meter vertical, you COULD erect a 5/8 wave vertical on 40 meters.  However, be aware that the length would be 585 / 7 = 83.5 feet.  That’s a pretty heroic vertical radiator in anyone’s book, but if you really want a super performing 40 meter vertical, you might investigate whether this would be a possibility for you.  And, if you can’t get all 83.5 feet to stand vertically, feel free to run it as an Inverted L, with as much of the wire as possible running vertically, then bend over the top and run the remaining wire over to another tree.  20 meters becomes much more practical:  41.7 feet is a practical length of wire if you have a tall tree with a high limb.  A 5/8 wave vertical on 20 meters will perform very similar to a 2-element beam.  For 10 meters, you would only need a vertical of 20.8 feet.

Give the 5/8 wave vertical a try if you want to work DX, but you just can’t afford a tower and beam.  You’ll be very pleasantly surprised at its performance.